Maximizing profit. For Exercises 23-28, find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in dollars for Exercises 23-26. 23. R(х) %3D 50х - 0.5x2, С(х) %3D 4x + 10 С(х) %3D 10х + 3 24. R(x) = 50x - 0.5x2, 25. R(x) = 2x, C(x) = 0.01x2 + 0.6x + 30 26. R(x) = 5x, C(x) = 0.001x + 1.2x + 60 27. R(x) = 9x - 2x2, C(x) = x - 3x2 + 4x + 1; assume that R(x) and C(x) are in thousands of dollars, and x is in thousands of units. 28. R(x) = 100x – x², C(x) = x3 – 6x² + 89x + 100; assume that R(x) and C(x) are in thousands of dollars, and x is in thousands of units.

Assume a company expects to sell 6 million packages of Pop-Tarts Gone Nutty! in the first year after introduction but expects that 70 percent of those sales will come from buyers who would normally purchase existing Pop-Tart flavors (that is, cannibalized sales). The price for a package of Pop-Tarts Gone Nutty! is $1.30 and its variable cost is $0.65, when the price for a package of original Pop-Tart is $1.10 with variable cost of $0.30. Assuming the sales of regular Pop-Tarts are normally 300 million packages per year and that the company will incur an increase in fixed costs of $450,000 during the first year to launch Gone Nutty! will the new product be profitable for the company? Determine the unit contributions and the loss for every package cannibalized from the original product. (Round to the nearest cent.) Unit contribution original Pop-Tarts $ Pop-Tarts Gone Nutty! Loss for every package cannibalized S

R(x)= -0.956x^2 + 157x C(x)= 50.8x + 73.4 P(x)= R(x) - C(x) P(x)= -0.956x^2 + 106.2x - 73.4 What are the break-even points?  What is the profit at the break-even points? What number of widgets sold will yield positive profit? Determine the number of widgets that you should try to sell in order to maximize profit.  What is the maximum profit?

Assume that the unit cost for a pair of levi jeans is $10 and that levi's desired markup on cost is 90%. Further, assume that jc penny's desired markup on cost is 75%. The correct formula for determining levi's desired markip on cost is: a. 10(.10) b. 19(.25) c. 10(.90) d. 19(.75) e. cannot determine with the information given