Engineering Economy, Student Value Edition (17th Edition)
17th Edition
ISBN: 9780134838137
Author: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 11P
a.
To determine
The maximum profit per month related to the product
b.
To determine
The range of profitability
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
show complete solution on a paper
A company produces and sells a consumer product and is able to control the demand by varying the selling price. The
approximate relationship between price and demand is
2700
5000
p = 38 +
(for D>1)
D²
The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $ 40 per unit. What is
the number of units and total amount that should be produced and sold each month to maximize profit?
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.
Chapter 2 Solutions
Engineering Economy, Student Value Edition (17th Edition)
Ch. 2 - An experimental composite engine block for an...Ch. 2 - Given below is a numbered list of cost terms. For...Ch. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10P
Ch. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Suppose you are going on a long trip to your...Ch. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - A company uses a variable speed honing machine to...Ch. 2 - Prob. 31PCh. 2 - An automobile dealership offers to fill the four...Ch. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - A hot water leak in one of the faucets of your...Ch. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48SECh. 2 - Prob. 49SECh. 2 - Prob. 50CSCh. 2 - Prob. 51CSCh. 2 - What is the optimal number of units that should be...Ch. 2 - Prob. 53FECh. 2 - Prob. 54FECh. 2 - Prob. 55FECh. 2 - Prob. 56FECh. 2 - Prob. 57FECh. 2 - Prob. 58FE
Knowledge Booster
Similar questions
- 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 Xarrow_forward6. 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)arrow_forwardThe cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x - 0.1x² +0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 R =² C 100 200 200 300 300 X 400 400 X Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 Xarrow_forward
- Question No. 6 A firm manufactures cars at its plant in Swindon. At a capacity of 100 cars per week it knows that it has an assembly cost of £5,000 per car. It needs to expand production and does a series of design and cost exercises. The results are summarized below. |TP(cars/week) 200 400 600 800 1,000 1,200 1,400 1,600 Ass. cost/car 3,000 2,500 2,300 2,200 2,000 2,400 2,800 4,000 (i) Plot the cost curve for the possible factory extensions. (ii) Is this a short run or long run cost curve? (iii) Explain why this curve is U shaped.arrow_forwardA 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.arrow_forwardAce Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. If the company charges $15 per pair, how many pairs must it sell to break even? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Ace would like to earn a profit of $2 million; how many pairs must they sell at a price of $15? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Suppose a consultant tells Ace it can sell 700,000 heel repair kits, what price must it charge to achieve a profit of $2.5 million?arrow_forward
- 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?arrow_forwardUrmilabenarrow_forwardA large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit. arrow_forward
- A small company manufactures a certain product. Variable cost are $20 per unit and fixed cost are $10,875. The price-demand relationship of this product is P = -0.25D + 2550, where P is the unit sales price of the product and D is the annual demand. Find the Total Cost, Total Revenue and Profit.arrow_forwardF Given Cost and Revenue functions C(q)=q³-8q² +59q + 5000 and R(q) = -3 -39² +2600q, what cost is incurred when marginal profit is $0? The costs are $ (Round to nearest cent.)arrow_forward1. Exercise 9.1 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. 2.38 0.006153Q 0.000005359Q² 19.2X1 C + + (2.62) (2.84) (3.16) (3.50) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($ million) times 100 percent. Q = output; measured by total assets ($ million) X1 = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Which of the variable(s) is (are) statistically significant in explaining variations in the average operating expense ratio? (Hint: t0.025,7€ 1.99 .) Check all that apply. X1 Q2 What type of average cost-output relationship is suggested by these statistical results? Quadratic Linear Cubic Based on these results, what can we conclude about the existence of economies or diseconomies of scale in savings and loan associations in…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Managerial Economics: Applications, Strategies an...EconomicsISBN:9781305506381Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. HarrisPublisher:Cengage Learning
Managerial Economics: Applications, Strategies an...
Economics
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:Cengage Learning