Question

A company discovered that to produce x =980 new electronic parts, it will cost y=$86,720. To produce 750 new electronic parts, it will cost them $67,400.

Answer 1

Answer: A.

Operating cost = $750

Working hours per day = 10

Total working hours per week = 70

Number of cases produced per hour = 50

So, number of cases produced in a week = 50 × 70 = 3500

If x is the manufacturing cost per hour, then

Manufacturing cost for 3500 cases produced in a week = 3500x.

Total cost = Operating cost + Manufacturing cost

Hence, total cost C(x) = 750 + 3500x.

B.

Number of cases produced in 1 hour = 50

Number of cases produced in t hours = 50t.

Cost per case = $6.

Amount of cases produced in t hours x(t) = 6 × 50t = 300t.

C.

C(x(t)) = C(300t) = 750 + 300t.

Explanation:

Answer 2

costs are increasing at a rate $84 per item