Jills Company produces lawnmowers. It has fixed costs of $1000 per week and Variable costs of $70 per lawn mower. a) Express the total weekly costs C(x) as a function of the production level x. Solve: C(x) = $70(x) - $1000 If Jill can sell her lawnmowers for $150 each, b) Find the revenue function R(x) Answer c) Find the manufactures weekly profit function P (x) Answer d) How many lawnmowers must the producer sell per week in order to show profit? Answer 2. The weekly cost of manufacturing x telephones per week is found by a manufacturer to be C(x) = 500 + 20(x) = x^2 dollars. a) find the manufacturer's break-even production level(s) b) for what production levels will the manufacturer experience a profit? 3) A cable television company estimates that with x thousand subscribers, its monthly revenue and cost (in thousands of dollars) are R(x) =32x - 0.2x^2 Determine the company's break even points. 4) The cost C per unit time, of producing rum cakes for a particular manufacturer, is known to be linearly related to the production level. That is C = mx + b, where x is the number of rum cakes produced is week, and m and b are constants. The cost of producing 100 cakes per week is $600. a)find m and b b)find the cost of producing 150 cakes per week. c) what is the manufacturers fixed weekly cost? 5) A microwave maufacturer sells microwaves to a certain retailer for $200 each, plus a handling charge of $75 on each order. The retailer applies a markup of 40% to the total price paid to the manufacturer. a)find the function C(x), giving the retailers total cost of a single order of x microwaves. b)show that the fuction R (x), giving the retailer's total revenues from the sale of these x microwaves is R(x) = 280x + 105 dollars. c) if the retailer sells all these microwaves at the same price, what is the function for the retail price per microwave