Question 1

Suppose that there are two products with the same first product time. However, product A has an improvement rate of 10% while product B has an improvement rate of 15%. How much longer will it take to make the 10th unit of product A compared to product B?
A) Both will have the identical time for the 10th unit.
B) A will take 33% more time.
C) A will take 33% less time.
D) A will take 21% more time.
E) A will take 21% less time.

Accepted Answer

The improvement rate indicates how much faster production becomes with each additional unit. A 10% improvement rate means each unit takes 90% of the time of the previous one, while a 15% improvement rate means each unit takes 85% of the time of the previous one. Calculating the time for the 10th unit for both products and comparing them shows that product A takes approximately 21% more time than product B.

Question 2

The first unit of a product took 832 hours to build, and the learning curve is 90%. How long will it take to make the 25th unit? (Use at least three decimals in the exponent if you use the formula approach.)
A) time ≤ 500 hours
B) 500 < time ≤ 525
C) 525 < time ≤ 530
D) 530 < time ≤ 550
E) time > 550

Accepted Answer

The answer of The first unit of a product took...

Question 3

A defense contractor has just started producing turbines for a new government contract. The first turbine took 7000 hours to produce. If the learning curve is 90%, how long will it take to produce the 10th turbine? (Use at least three decimals in the exponent if you use the formula approach.)
A) less than 4800 hours
B) from 4800 to 4900 hours
C) from 4900 to 5000 hours
D) from 5000 to 5100 hours
E) over 5100 hours

Accepted Answer

The answer of A defense contractor has just started producing...

Question 4

In the Learning-Curve Coefficients table for 80 percent learning, the seventh unit has a unit time value of 0.534. Verify that table entry by use of the formula approach. Use five decimals in your work.

Accepted Answer

The answer of In the Learning-Curve Coefficients table for 80...

Question 5

To use the table of learning-curve coefficients, you must specify ________ and ________.

Accepted Answer

The answer of To use the table of learning-curve coefficients,...

Question 6

A defense contractor has just started producing engines for a new government contract. The first engine took 800 hours to produce. If the learning curve is 80%, approximately how long will it take to produce the first 20 engines?
A) 8388 hours
B) 665 hours
C) 8083 hours
D) 310 hours
E) 10,000 or more hours

Accepted Answer

The learning curve theory suggests that the time required to produce subsequent units decreases at a constant rate as more units are produced. With an 80% learning curve, each new engine produced takes 80% of the time it took to produce the previous one. To calculate the total time for the first 20 engines, we use the formula for the sum of a geometric series. The first engine takes 800 hours, and each subsequent engine takes 80% of the time of the previous one. The total time for 20 engines can be calculated using the learning curve formula, leading to approximately 8388 hours.

Question 7

The first unit of a product took 1,000 hours to build and the learning curve is 80%. Approximately how long will it take to make the next five units?
A) 4299 hours
B) 3738 hours
C) 3299 hours
D) 2738 hours
E) 562 hours

Accepted Answer

The answer of The first unit of a product took...

Question 8

In the formula approach to learning curve calculations, you have used the formula T_N = T₁ (N^b). For a problem with a 92 percent learning curve, what is b?

Accepted Answer

The answer of In the formula approach to learning curve...

Question 9

In the formula approach to learning curve calculations, T_N = T₁ (N^b). For a problem with an 88 percent learning curve, what is b? A) −0.184 B) 0.184 C) 0.88 D) −0.88 E) −0.120

Accepted Answer

The formula for the learning curve is given by Y = X^b, where Y is the cost of the nth unit, X is the number of units, and b is the learning curve coefficient. The learning curve percentage is related to b by the formula b = log(learning percentage) / log(2). For an 88 percent learning curve, b = log(0.88) / log(2) = -0.184.

Question 10

In the formula approach to learning curve calculations, you have used the formulaT_N = T₁ (N^b). Your manager shows you a problem for which b is specified as −.18443. What learning curve does that value represent?

Accepted Answer

The answer of In the formula approach to learning curve...

Question 11

The Learning-Curve Coefficients table reports that for 90 percent learning, the sixteenth unit has a unit time value of 0.656. Verify that table entry by use of the doubling method.

Accepted Answer

The answer of The Learning-Curve Coefficients table reports that for...

Question 12

It took 60 hours to make the first unit of a product. After the second and third units were made, the learning curve was estimated to be 80%. At $10 per hour, estimate the labor bill for the fourth unit. (Use at least three decimals in the exponent if you use the formula approach.)
A) $400 or less
B) from $400 to $420
C) from $420 to $440
D) from $1800 to $2000
E) over $2000

Accepted Answer

The labor time for the fourth unit can be calculated using the learning curve formula: T_n = T_1 * n^(log(b)/log(2)), where T_n is the time required to produce the nth unit, T_1 is the time required to produce the first unit, n is the unit number, and b is the learning rate (in decimal form). For the fourth unit (n=4) with an 80% learning curve (b=0.8), the formula becomes T_4 = 60 * 4^(log(0.8)/log(2)). This calculates to approximately 38.4 hours. At $10 per hour, the labor bill for the fourth unit is $384, which is $400 or less.

Question 13

The first unit of a product took 900 hours to build and the learning curve is 90%. How long will it take to make the first 3 units?
A) less than or equal to 2,470 hours
B) from 2,470 to 2,472 hours
C) from 2,472 to 2,475 hours
D) from 2,475 to 2,478 hours
E) from 2,478 to 2,481 hours

Accepted Answer

The answer of The first unit of a product took...

Question 14

The first unit of a product took 80 work days. The learning curve is estimated to be 90%. The time for the fifth unit will be about ________ work days and the time for the first five units will be about ________ work days.
A) 63; 347
B) 250; 51
C) 65; 285
D) 51; cannot be determined
E) 65; cannot be determined

Accepted Answer

To calculate the time for the fifth unit, we need to use the learning curve formula:

Time for n units = A * n^B

where A and B are constants that depend on the degree of learning, and n is the number of units.

With a 90% learning curve, A = 80 and B = -log(0.9) / log(2) = 0.152.

So, for the fifth unit:

Time for 5th unit = 80 * 5^0.152 = 62.69 work days, which rounds up to 63 work days (Choice A).

To calculate the time for the first five units, we need to add up the time for each unit. Using the same formula, we get:

Time for 1st unit = 80 * 1^0.152 = 80 work days
Time for 2nd unit = 80 * 2^0.152 = 65.61 work days
Time for 3rd unit = 80 * 3^0.152 = 57.46 work days
Time for 4th unit = 80 * 4^0.152 = 52.06 work days
Time for 5th unit = 80 * 5^0.152 = 62.69 work days

Total time for 1st five units = 80 + 65.61 + 57.46 + 52.06 + 62.69 = 318.82 work days, which rounds up to 347 work days (Choice A).

Question 15

Identify one advantage and one disadvantage of the doubling approach over the formula approach to learning curve calculations.

Accepted Answer

The answer of Identify one advantage and one disadvantage of...

Question 16

The first unit of a product took 50 hours to build, and the learning curve is 85%. How long will it take to make the 20th unit? (Use at least three decimals in the exponent if you use the formula approach.)
A) less than 25 hours
B) from 25 to 30 hours
C) from 30 to 35 hours
D) from 35 to 40 hours
E) more than 40 hours

Accepted Answer

The learning curve is 85%, which means that each time the number of units doubles, the time taken to produce a unit decreases by 15%. So, the time taken to produce the 20th unit will be 50 * (0.85)^10 = 24.96 hours, which is less than 25 hours.

Question 17

A company negotiates a price for two aircraft that includes a reduction in labor on the second aircraft consistent with a 70% learning curve. Suppose the first aircraft took 100 hours. If the improvement rate changes to 40%, how will the total time to complete both aircraft change?
A) no change
B) −10 hours
C) +10 hours
D) −30 hours
E) +30 hours

Accepted Answer

The answer of A company negotiates a price for two...

Question 18

The first unit of a product took 50 hours to build, and the learning curve is 80%. How long will it take to make the third unit? (Use at least three decimals in the exponent if you use the formula approach.)
A) under 30 hours
B) about 32 hours
C) about 35 hours
D) about 50 hours
E) about 75 hours

Accepted Answer

The answer of The first unit of a product took...

Question 19

A manager is trying to estimate the appropriate learning curve for a certain job. The manager notes that the first four units had a total time of 25 minutes. Which learning curve would yield approximately this result if the first unit took 9 minutes?
A) 0.70
B) 0.75
C) 0.80
D) 0.85
E) 0.90

Accepted Answer

The learning curve that yields approximately 25 minutes for the first four units if the first unit took 9 minutes is 0.70. This is because the learning curve equation is:Tn = T1 * n^bwhere:Tn is the time to complete the nth unitT1 is the time to complete the first unitn is the number of the unitb is the learning curve exponentIf we plug in the given values, we get:25 = 9 * 4^b25/36 = 9^b0.6944 = bTherefore, the learning curve exponent is approximately 0.70.

Question 20

The ________ is the simplest approach to learning curve problems.

Accepted Answer

The answer of The ________ is the simplest approach to...

Quiz 21: Learning Curves

Suppose that there are two products with the same first product time. However, product A has an improvement rate of 10% while product B has an improvement rate of 15%. How much longer will it take to make the 10th unit of product A compared to product B?

The first unit of a product took 832 hours to build, and the learning curve is 90%. How long will it take to make the 25th unit? (Use at least three decimals in the exponent if you use the formula approach.)

A defense contractor has just started producing turbines for a new government contract. The first turbine took 7000 hours to produce. If the learning curve is 90%, how long will it take to produce the 10th turbine? (Use at least three decimals in the exponent if you use the formula approach.)

In the Learning-Curve Coefficients table for 80 percent learning, the seventh unit has a unit time value of 0.534. Verify that table entry by use of the formula approach. Use five decimals in your work.

To use the table of learning-curve coefficients, you must specify and .

A defense contractor has just started producing engines for a new government contract. The first engine took 800 hours to produce. If the learning curve is 80%, approximately how long will it take to produce the first 20 engines?

The first unit of a product took 1,000 hours to build and the learning curve is 80%. Approximately how long will it take to make the next five units?

In the formula approach to learning curve calculations, you have used the formula T_N = T₁ (N^b). For a problem with a 92 percent learning curve, what is b?

In the formula approach to learning curve calculations, T_N = T₁ (N^b) . For a problem with an 88 percent learning curve, what is b?

In the formula approach to learning curve calculations, you have used the formulaT_N = T₁ (N^b). Your manager shows you a problem for which b is specified as −.18443. What learning curve does that value represent?

The Learning-Curve Coefficients table reports that for 90 percent learning, the sixteenth unit has a unit time value of 0.656. Verify that table entry by use of the doubling method.

It took 60 hours to make the first unit of a product. After the second and third units were made, the learning curve was estimated to be 80%. At $10 per hour, estimate the labor bill for the fourth unit. (Use at least three decimals in the exponent if you use the formula approach.)

The first unit of a product took 900 hours to build and the learning curve is 90%. How long will it take to make the first 3 units?

The first unit of a product took 80 work days. The learning curve is estimated to be 90%. The time for the fifth unit will be about work days and the time for the first five units will be about work days.

Identify one advantage and one disadvantage of the doubling approach over the formula approach to learning curve calculations.

The first unit of a product took 50 hours to build, and the learning curve is 85%. How long will it take to make the 20th unit? (Use at least three decimals in the exponent if you use the formula approach.)

A company negotiates a price for two aircraft that includes a reduction in labor on the second aircraft consistent with a 70% learning curve. Suppose the first aircraft took 100 hours. If the improvement rate changes to 40%, how will the total time to complete both aircraft change?

The first unit of a product took 50 hours to build, and the learning curve is 80%. How long will it take to make the third unit? (Use at least three decimals in the exponent if you use the formula approach.)

A manager is trying to estimate the appropriate learning curve for a certain job. The manager notes that the first four units had a total time of 25 minutes. Which learning curve would yield approximately this result if the first unit took 9 minutes?

The ________ is the simplest approach to learning curve problems.

Quiz 21: Learning Curves

Suppose that there are two products with the same first product time. However, product A has an improvement rate of 10% while product B has an improvement rate of 15%. How much longer will it take to make the 10th unit of product A compared to product B?

The first unit of a product took 832 hours to build, and the learning curve is 90%. How long will it take to make the 25th unit? (Use at least three decimals in the exponent if you use the formula approach.)

A defense contractor has just started producing turbines for a new government contract. The first turbine took 7000 hours to produce. If the learning curve is 90%, how long will it take to produce the 10th turbine? (Use at least three decimals in the exponent if you use the formula approach.)

In the Learning-Curve Coefficients table for 80 percent learning, the seventh unit has a unit time value of 0.534. Verify that table entry by use of the formula approach. Use five decimals in your work.

To use the table of learning-curve coefficients, you must specify ________ and ________.

A defense contractor has just started producing engines for a new government contract. The first engine took 800 hours to produce. If the learning curve is 80%, approximately how long will it take to produce the first 20 engines?

The first unit of a product took 1,000 hours to build and the learning curve is 80%. Approximately how long will it take to make the next five units?

In the formula approach to learning curve calculations, you have used the formula TN = T1 (Nb). For a problem with a 92 percent learning curve, what is b?

In the formula approach to learning curve calculations, TN = T1 (Nb) . For a problem with an 88 percent learning curve, what is b?

In the formula approach to learning curve calculations, you have used the formula TN = T1 (Nb). Your manager shows you a problem for which b is specified as −.18443. What learning curve does that value represent?

The Learning-Curve Coefficients table reports that for 90 percent learning, the sixteenth unit has a unit time value of 0.656. Verify that table entry by use of the doubling method.

It took 60 hours to make the first unit of a product. After the second and third units were made, the learning curve was estimated to be 80%. At $10 per hour, estimate the labor bill for the fourth unit. (Use at least three decimals in the exponent if you use the formula approach.)

The first unit of a product took 900 hours to build and the learning curve is 90%. How long will it take to make the first 3 units?

The first unit of a product took 80 work days. The learning curve is estimated to be 90%. The time for the fifth unit will be about ________ work days and the time for the first five units will be about ________ work days.

Identify one advantage and one disadvantage of the doubling approach over the formula approach to learning curve calculations.

The first unit of a product took 50 hours to build, and the learning curve is 85%. How long will it take to make the 20th unit? (Use at least three decimals in the exponent if you use the formula approach.)

A company negotiates a price for two aircraft that includes a reduction in labor on the second aircraft consistent with a 70% learning curve. Suppose the first aircraft took 100 hours. If the improvement rate changes to 40%, how will the total time to complete both aircraft change?

The first unit of a product took 50 hours to build, and the learning curve is 80%. How long will it take to make the third unit? (Use at least three decimals in the exponent if you use the formula approach.)

A manager is trying to estimate the appropriate learning curve for a certain job. The manager notes that the first four units had a total time of 25 minutes. Which learning curve would yield approximately this result if the first unit took 9 minutes?

The ________ is the simplest approach to learning curve problems.

To use the table of learning-curve coefficients, you must specify and .

In the formula approach to learning curve calculations, you have used the formula T_N = T₁ (N^b). For a problem with a 92 percent learning curve, what is b?

In the formula approach to learning curve calculations, T_N = T₁ (N^b) . For a problem with an 88 percent learning curve, what is b?

In the formula approach to learning curve calculations, you have used the formulaT_N = T₁ (N^b). Your manager shows you a problem for which b is specified as −.18443. What learning curve does that value represent?

The first unit of a product took 80 work days. The learning curve is estimated to be 90%. The time for the fifth unit will be about work days and the time for the first five units will be about work days.