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q1

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), of producing x units are in dollars. R(x) = 5x, C(x) =0.01x + 0.2x +6 What is the production level for the maximum profit? units What is the profit? $A sporting goods store sells 105 pool tables per year. It costs $10 to store one pool table for a year. To reorder, there is a fixed cost of $21 per shipment plus $12 for each pool table. How many times per year should the store order pool tables, and in what lot size, in order to minimize inventory costs? The store should order pool tables |times per year to minimize inventory costs.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 thousands of dollars, and x is in thousands of units. R(x) = 8x - 2x , C(x) =x -5x +2x+1 The production level for the maximum profit is about |units. (Do not round until the final answer. Then round to the whole number as needed.) The profit is about $]. (Do not round until the final answer. Then round to the whole number as needed.)Raggs, Lid. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 180 -0.5x. It also determines that the total cost of producing x suits is given by C(x) = 2500 + 0.75x-. a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? a) R(x) = b) P(x) = c) suits d) The maximum profit is $ e) The price per unit must be $Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum prot. Assume that revenue, R(x}, and cost C(x), of producing x units are in dollars. Rm = 40x 01:3. em = 5x + 20 In order to yield the maximum prot of $ . units must be produced and sold. (Simplify your answers. Round to the neares cent as needed.)