Question

Suppose the production costs for a certain item is given by c(p)= 8p³-16p² 4p 72 dollars where 5-th units are produced each hour. Estimate the cost, in dollars, to produce the 5-th unit of that item?

Answer 1

To estimate the cost of producing the 5th unit of the item, substitute p = 5 into the cost function c(p) = 8p³ - 16p² + 4p + 72. The estimated cost is $692.

Step-by-step explanation:

To estimate the cost of producing the 5th unit of the item, we need to substitute p = 5 into the cost function c(p) = 8p³ - 16p² + 4p + 72. This will give us the cost in dollars as follows:

c(5) = 8(5)³ - 16(5)² + 4(5) + 72

c(5) = 8(125) - 16(25) + 20 + 72

c(5) = 1000 - 400 + 20 + 72

c(5) = 692

Therefore, the estimated cost to produce the 5th unit of the item is $692.