Question

Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 150. Its cost (in dollars) for a run of hockey jerseys is ()=1500+10+0.42. Gymnast Clothing sells the jerseys at 90 each. Find a. The revenue function. b. Profit function c. The number of Jerseys that Gymnast Clothing manufacture to make a profit

Answer 1

Answer: See explanation

Explanation:

a. The revenue function.

The revenue function will be:

= 90 × x

= 90x

b. Profit function

This will be:

= Revenue - Cost

= 90x - (1500 + 10x + 0.2x²)

= 90x - 1500 - 10x - 0.2x²

= 90x - 10x - 1500 - 0.2x²

= 80x - 1500 - 0.2x²

c. The number of Jerseys that Gymnast Clothing manufacture to make a profit

80x - 1500 - 0.2x²

0.2x² - 80x + 1500 = 0

Solving using almighty formula, x will be 20. Therefore, 20 jerseys need to be produced to make a profit.