
A company that makes Adirondack chairs has fixed costs of $4,000 and variable costs of $10...
3. A certain company has fixed costs of $15,000 for its product and variable costs is given by 140 +0.04x dollars per unit where x is the total number of units. The selling price p of the product is given by 300 -0.06x dollars per unit. (6 pts) a) Set up the functions for total cost and total revenue. b) Find the minimum break even quantity. c) Set up the profit function and compute the number of units that will...
Suppose a company has fixed costs of $54,400 and variable cost per unit of 1/3x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2065 - 2/3x dollars per unit. (a) Find the break-even points. (b) Find the maximum revenue. (c) Form the profit function P(x) from the cost and revenue functions. Find maximum profit. (d) What price will maximize the profit
Suppose a company has fixed costs of $51,200 and variable cost per unit of 1 3 x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1965 − 2 3 x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ (c) Form the profit function...
A company that manufactures masks has fixed costs of 3000 dollars. Each mask costs 4.85 dollars to produce and sells for 12.35 dollars. Write their cost, revenue and profit functions, in terms of m, where m is the number of masks. Cost: C(m) Revenue: R(m) Profit: P(m)
Break-Even Analysis A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting) ac $55,858, and marginal costs (printing, paper, binding, shipping) at $1.6 for each book produced. If the book is sold to distributors for price of $11 each, How many must be produced and sold for the publisher to break even? (Round to the nearest whole number). Profit Analysis The same multimedia company now estimates their cost and revenue functions to be: C(x)...
A manufacturer of widgets has fixed costs of $1200 per month, and the variable cost is $49 per widget (so it costs $49 to produce 1 widget). Let N be the number of widgets produced in a month. (a) Find a formula for the manufacturer's total cost C as a function of N. C(N) - 49N+1200 (b) The highest price p, in dollars, of a widget at which N widgets can be sold is given by the formula p =...
An Al Ain based Gym/Fitness company has fixed costs of 50,000 AED. /month and a variable costs of 20 AED/per fitness class member. The company currently charges 120 AED for each fitness class member and has in total 800 members taking classes per month. The Gym can accommodate maximum up to 2000 members The Gym wants to raise the class charge to 150 AED to cover enhanced features such as new music and energy drinks which will increase the variable...
4) A company that specializes in manufacturing reproductions of classic automobiles has fixed costs of $720,000 and variable costs of $35,000 per automobile. The automobiles sell for $50,000. a.) Write a function, C, for the cost of producing X automobiles. What is the cost of producing 60 automobiles? (5 points) b.) Write a function, R, for the revenue the company makes when selling x automobiles. (5 points) c.) Write a function, P, for the profit in terms of x. What...
3. Listeners Paradise, a used CD store has daily fixed costs of $437 per day and 40 CDs cost $557 to produce. The CD’s sell for $12.50 each. (a) Find an equation for the total daily cost, C(x) (b) Find an equation for the total daily revenue, R(x). (c) Find an equation for the profit function, P(x). (d) Find the number of CD’s that must be sold daily in order to break even.
Matching (15 pts) a.) Average fixed costs b.) Average product c.) Average total cost d.) Average variable cost e.) Diseconomies of scale f.) Economies of scale 9.) Fixed costs m.) Optimal output rule h.) Law of diminishing marginal productivity n.) Profit i.) Long run 0.) Short run 1.) Marginal cost p.) Total cost k.) Marginal product q.) Total product 1.) Marginal revenue r.) Variable costs 1.) Total revenue minus total cost 2.) The sum of total fixed and total variable...