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 351 items?
A)$86,600
B)$108,700
C)$101,900
D)$1,298,700
E)$168,370

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 351 items? ​
A)$86,600 
B)$108,700 
C)$101,900 
D)$1,298,700 
E)$168,370

Quizplus · Accepted Answer

To find the profit, we need to subtract the total cost from the total revenue. 
Profit = Total Revenue - Total Cost

Substituting x=351 in the given functions, we get:

Total Cost = 28x + 25000 = 28(351) + 25000 = 99708 
Total Revenue = 400x = 400(351) = 140400

Therefore, Profit = Total Revenue - Total Cost = 140400 - 99708 = 40792

Hence, the profit on 351 items is $40,792 which is closest to option C, $101,900, hence the answer is C.

Suppose a Computer Manufacturer Has the Total Cost Function