An air conditioner outlet finds that if it sells x air conditioners per month, its costs will be C (x) = 220x + 202, 500 and its revenue will be R (x) = 3x2 +2020x (both in dollars). %3D You must show your work for full credit on this problem. a. Find the outlet's break-even points. b. Find the number of air conditioners the outlet should sell to maximize profit, and the maximum profit. Recall that Profit = Revenue Costs. c. Explain the method you used to determine the number of air conditioners.

An air conditioner outlet finds that if it sells x air conditioners per month, its costs will be C (x) = 220x + 202, 500 and its revenue will be R (x) = 3x2 +2020x (both in dollars). %3D You must show your work for full credit on this problem. a. Find the outlet's break-even points. b. Find the number of air conditioners the outlet should sell to maximize profit, and the maximum profit. Recall that Profit = Revenue Costs. c. Explain the method you used to determine the number of air conditioners.

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter5: Investment Decisions: Look Ahead And Reason Back

Section: Chapter Questions

Problem 5.1IP

See similar textbooks

Similar questions

A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.
The Night Owl Restaurant generates sales of $1,000,000 a month with variable costs of 35%. The Kobe beef burger is one of the restaurants’ best selling menu items with a price of $13 and a food cost of 30%. The menu has 20 item and total sales average 20,000 menu items a month, of which 10% are Kobe beef burgers. What is the profit factor for the Kobe beef burger 1.20 0.56 0.49 1.50
Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(q) = - 2.8q + 800, what profit can be earned if the price is set to be $550 per item? U The profit is $ 1,?9 (Round to the nearest cent.) A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs STT00 to produce each TV. The company projects that if it charges a price of $2300 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2000. Assumo a linear demand. What is the marginal profit if 200 TVs are produced It is $ 0 per item. (Round answer to nearest dollar.)
After one month of operation, OU Café determined to shorten its business hours and close on weekends. What costs, fixed or variable, should OU Café have considered when it made the
6. Let p(x) = 4 – 0.0002x be the price (in TL) of each unit of a certain product required to attract a demand of x units in a year and let C(x) = 600 + 3x be the total cost of producing x units of the product in a year. (a) (- as large as possible? What is the number of units that should be produced to make the yearly profit (b) What is the yearly profit in case (a)
Stuey the VP for advertising at the Meg-low Mart is trying to sell Meg-Low Mart Body Spray for $1.99 per unit. His variable cost for each unit $0.75. Knowing their AED is .31 calculate the optimal amount that should be spent in advertising.
Showing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down? Answer all questions neatly please
function for the lightweight compasses is given by p = 40- 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Type your answer here:
At profit maximization, calculate (P-ATC) x Q.
What are the total costs of producing 300 LCD screens per day
Crawford Computing finds that its weekly profit, in dollars, from its production and sale of x laptop computers is P(x)=-.002x^3-.15x^2+400x-800 Currently, Crawford builds and sells 9 laptops weekly. (a) what is the current weekly profit? (b) how much profit would be lost if production and sales dropped to 8 laptops weekly? (c) what is the marginal profit with x=9? (d) use answers from parts (a) and (c) to estimate the profit resulting from the production and sale of 10 laptops weekly.
10. Smart Phones, Inc. buys one model of smartphone, paying $2370 per case of 20 phones. Find the asking price for each assuming a 40% markup on cost.