Problem 11 The cost of producing x t-shirts is C(x) dollars where. A t-shirt sells for $16 each. Complete the parts below by solving appropriate equations algebraically or graphically and document the steps you follow.
a. Find the break-even quantity.
Solution The revenue function is R(x) = 16x. To find the break-even point set R(x) = C(x) and solve for x.
b. What profit will the company receive if it sells 2000 t-shirts?
Solution The profit function is the difference between revenue R(x) and cost C(x),
c. How many shirts will produce a profit of $20,000?
Solution Set the profit function equal to 20,000 and solve for x: