The Pear company sells pPhones. Including overhead costs and production costs, the cost to manufacture xpPhones is C(x) = −19x² + 70000x + 20613 dollars. If the company sells x pPhones for the maximum price they can fetch, the revenue function will be R(x) = −24x² + 220000 dollars. How many pPhones should the Pear company produce and sell to maximimze profit? (Remember that profit = revenue X= cost.)

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.a. Find the cost function CC when xx energy drinks are manufactured.C(x)=b. Find the revenue function RR when xx drinks are sold.R(x)=c. Find the break-even point by any method.x=  drinks

Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced TCD(X) = X² X + 3 where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by TCH(Y) y² + 2Y + 9 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 5,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min s.t. = X, Y Z 0 = 5 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal…

Suppose a gift basket maker incurs costs for a basket according to C(x)=18x+220. If the baskets are sold for $43 per basket, what is the revenue function? (Simplify the function, unsimplified will result in 0 credit) R(x)=