Suppose a computer manufacturer has the total cost function and the total revenue function , where x represents the number of computers produced and sold. What is the profit on 341 items?
A) $86,300
B) $106,000
C) $98,600
D) $1,364,000
E) $160,560

Question

Suppose a computer manufacturer has the total cost function  and the total revenue function  , where x represents the number of computers produced and sold. What is the profit on 341 items? ​
A) $86,300 
B) $106,000 
C) $98,600 
D) $1,364,000 
E) $160,560

Quizplus · Accepted Answer

To calculate the profit, we need to subtract the total cost from total revenue. Therefore,

Profit = Total revenue - Total cost

Substituting the given functions, we have

Profit = (350x - 0.005x^2) - (100x + 23000)

Profit = -0.005x^2 + 250x - 23000

Now, we can find the profit on 341 items by substituting x = 341 in the above equation.

Profit = -0.005(341)^2 + 250(341) - 23000

Profit = $98,595

Therefore, the answer is C.

Suppose a Computer Manufacturer Has the Total Cost Function