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 20%.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 48% more time.
C)A will take 48% less time.
D)A will take 23% less time.
E)none of the above

Question

Quizplus · Accepted Answer

Since both products have the same first product time, we can assume that they both take the same amount of time to produce the first unit. After that, product A improves at a rate of 10% while product B improves at a rate of 20%. This means that for every unit produced, product A's time decreases by 10% while product B's time decreases by 20%. To find out how much longer it will take product A to produce the 10th unit compared to product B, we can use the formula:

time for 10th unit of A = time for 1st unit of A * (0.9)^9
time for 10th unit of B = time for 1st unit of B * (0.8)^9

Assuming that the time it takes to produce the first unit is 100%, we can simplify these equations to:

time for 10th unit of A = 100% * (0.9)^9
time for 10th unit of B = 100% * (0.8)^9

Using a calculator, we can find that:

time for 10th unit of A = 38.74%
time for 10th unit of B = 10.74%

Therefore, it will take product A 48% more time to produce the 10th unit compared to product B.

Suppose That There Are Two Products with the Same First