Given that the relationship between the sales price for one of a company's products and the quantity sold per month is D = 500 – 5p units where D is the demand or quantity sold per month and p is the unit price in dollars. The fixed cost is $1,000 per month, andthe variable cost is $20 per unit produced. (a) Determine the optimal number of units that should be produced and sold per month. (b) What is the maximum profit per month related to the product? (c) What is the company's range of profitable demand? Supportyour answers graphically.

Total revenue is the amount earned in monetary terms after the sales of all the quantities at the…

Answered: Given that the relationship between the…

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

Chapter3: Benefits, Costs, And Decisions

Section: Chapter Questions

Problem 7MC

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What is the maximum profit for the profit-versus-production function given below? P is profit in dollars and x is units of production. P= $200,000 -0.12 - O (A) $200,000 O (B) $240,000 O (C) $290,000 O (D) $310,000 Remaining Time 4
When the production volume (Q)is(100)units and the total costs (TC)is (1500) omani RIyals and fixed costs (900) Riyals then What is the average variable cost
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major league baseball plans to sell special commemorative jerseys for the world series. the suppliers says that costs will be C(x)= 10x2-680x-20,000 dollras dor making x jerseys. MLB plans to sell them for 120 dollars each. how many jerseys must be sold for MLB to make a profit?
The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and xrepresents the number of units . R(x) = −0.2x2 + 172x C(x) = 78x + 10065 (a) How many items must be sold to maximize the revenue?(b) What is the maximum revenue?
A company estimates it will sell 5000 products in a year. I twould like to make some number N of equally spaced orders of size x units per order so that the total inventory cost (which includes prdering and storage) is minimized. a) If there is a 420 per order fixed cost plus a cost of $9 per unit ordered, and the storage cost per year is $10, find the number of orders and the numbers of units per order so that the goal of minimizing inventory costs is achieved. b) Suppose that the ordering cost doubles to $18 per unit ordered,and that no other chnage is made. Decide whether this should or should not change the solutuon that you foind in part (a), and justify your answer.
Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is МС- 4x+ 25, that its marginal revenue is MR%3D 75 - 6х, and that the cost of production of 60 units is $8,880. (a) Find the optimal level of production. units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level.
The cost, in millions of dollars, of building a three-story high school in NewYork State was estimated to be:   2C x x x x      1.7 0.14 0.0001 20 400where x is the number of thousands of square feet. Suppose that you arecontemplating building a for-profit three-story high school and estimate thatyour total revenue will be $0.2 million dollars per thousand square feet.(a) What is minimum area for a three-story high school in New YorkState, that this model covers? (b) What is the variable cost of building a three-story high school in NewYork State? (c) What is the fixed cost of building a three-story high school in NewYork State? (d) Determine the profit function,P x( ), for building a three-story highschool in New York State? . (e) Determine,P(250) , for building a three-story high school in New YorkState, and interpret the result. (f) How many thousands of square feet should a three-story high schoolbuilding in New York State be in order to break even?
Urmilaben
Suppose a company has fixed costs of $600 and variable costs per unit of x + 1130 dollars, where x is the total number of units produced. Suppose further that the selling price of its ²x product is 1200 - 1x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 10,60 (b) Find the maximum revenue. $ 2880000 (c) Form the profit function P(x) from the cost and revenue functions. P(x) = 1200x - 31²) - (600 + 1² +1130x) Find the maximum profit. $ 625 (d) What price will maximize the profit? (Round your answer to the nearest cent.) $ 35 X
. A call center in India used by U.S. andU.K. credit card holders has a capacity of1,400,000 calls annually. The fixed cost ofthe center is $775,000 with an averagevariable cost of $2 and revenue of $3.50 percall.(a) Find the percentage of the capacitythat must be placed each year tobreak even.
The total cost equation for a firm producing two products is TC(Q1, Q2) = 25 + Q12 + 4Q22 + 5Q1Q2 (a) Do cost complementarities exist for this firm? (b) Under what circumstances do economies of scope exist for this firm? (c) Suppose that Q1 = Q2 = 3. Do cost complementarities exist? (d) Suppose that the firm is currently producing 5 units of Q1, and 10 units of Q2, What is the firm's total cost of production? e) Suppose that the firm divests itself of the division selling Q1 to a competitor. How much will it cost the firm to continue producing 10 units of Q2? What is the total cost of producing both Q1 and Q2 if the firm producing Q1 produces 5 units?

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