Engineering Economy (16th Edition) - Standalone book
16th Edition
ISBN: 9780133439274
Author: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 15P
a.
To determine
The number of units that should be procured and sold every month to maximize the profit.
b.
To determine
The maximized profit from part.a answer.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
XYZ company can manufacture their own products and sells them. They are able
to control the demand by changing the price that is determined by the equation
below. The company is thinking of maximizing their profit. The fixed cost is
$1,000 per month and the variable cost is $40 per unit. Find the number of units
that must be manufactured and sold monthly to maximize profit. (Demand D in
the equation is monthly) Hint: Profit = Total Revenue - Total Cost
2,700
5,000
p = $38 +
D
for D > 1
D2
1 Add file
Best Orange Juice Company is located in Oman. The cost function for total orange juice
production (x) is given by C(q) 3D0.25x². Their orange juice is demanded only in Muscat (Muscat
demand is Xm= 100-2Pm) and Salalah (Salalah demand is 100-4P,). Therefore, the total
demand is x-St Xs. If the company can control the quantities supplied to each market, how many
should it sell in each location to maximize total profits? What price would it charge in each
location?
Answer
A company produces and sells hair dryers in a
market where price (p) and demand (D) are
related as follows:
p = $35 + (3,000)/D – (4,800)/D²
The fixed cost (C;) is $800 per month and the
variable cost per hair dryer (c,) is $38.
How many hair dryers should be produced
each month to maximize profits?
Chapter 2 Solutions
Engineering Economy (16th Edition) - Standalone book
Ch. 2 - An experimental composite engine block for an...Ch. 2 - Prob. 2PCh. 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 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 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
- The profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors. C(x)=-2300+40x R(x)=840x-x² a) Determine and simplify the profit function. Write your answer in descending order. P(X)-arrow_forwardA company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p=85-0.2D (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,500 per month and the variable cost is $20 per unit produced. a. What is the maximum profit per month for this product? b. What is the range of profitable demand during a month?arrow_forwardYou are the CEO of Widget World Corporation. Researchers have developed a new electronic widget. The fixed costs to make the widget will be $32,000, and the variable cc will be $145 per widget. The demand function isq =-38p+ 9768. Answer the following questions: 1) Write the expense function (in terms of q) 2) Write the expense function (in terms of p-hint: you will need your demand function) 3) Write the revenue function (in terms of p)arrow_forward
- A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p=70 -0.2D (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $700 per month and the variable cost is $40 per unit produced. a. What is the maximum profit per month for this product? b. What is the range of profitable demand during a month? a. The maximum profit per month for this product is $ (Round to the nearest dollar.)arrow_forwardA company produces and sells hair dryers in a market where price (p) and demand (D) are related follows: p= $35 + (3,000)/D –- (4,800)/D? The fixed cost (C;) is $800 per month and the variable cost per hair dryer (c,) is $38. With reference to the company in Question 1, assume price and demand are unrelated. The company sells the hair dryers for $80 each if they spend $8,000 per month on advertising (C.). C; and c, remain as indicated in Question 1. The maximum production capacity is 5,000 hair dryers per month. a) What is the demand breakeven b) Is the company's demand breakeven point (in %) more sensitive to 10% increase in sales price or 20% reduction in variable costs? Explain your answer.arrow_forwardThe Hickory Cabinet and Furniture Company makes chairs. The fixed cost per month of making chairs is $7,500, and the variable cost per chair is $40. Price is related to demand, according to the following linear equation: v = 400 - 1.2p Develop the nonlinear profit function for this company and determine the price that will maximize profit, the optimal volume, and the maximum profit per month.arrow_forward
- A company determines that the demand function for a product can be modeled by p=220-0.02x where x is the number of units produced per week. The fixed cost is $12,000 and the variable cost is $80/unit. Find the number of units that yields the maximum profit.arrow_forwardThe HAC at Humberview has decided to sell Gatorade to raise money. The demand function is described by px=-4x+340 , where x is the number of bottles, in hundreds, and px is in dollars. The cost function, in dollars, is described by Cx=300x-275. Determine the number of Gatorade bottles they must sell so that they maximize their profit.arrow_forwardBavarian Crystal Works designs and produces crystal wine decanters for export to international markets. The marketing manager of Bavarian Crystal Works estimates the demand curve for each month to be: P=1,000-0.0025Q Where Q is the number of wine decanters produced monthly. Bavarian Crystal Works also pays a lease for its factory and equipment every month in the amount of $1,000,000. Finally, the cost to produce each wine decanter is $200. What quantity would maximize profits? What is the optimal price for Bavarian Crystals to charge?arrow_forward
- You are setting up a part-time business with an initial investment of $15,000. The unitcost of the product is $11.80, and the selling price is $19.30.a) Find equations for the total cost C and total revenue R for x units.b) Find the break-even point by finding the point of intersection of the cost and revenueequations.c) How many units would yield a profit of $1000?arrow_forwardHw.107.arrow_forwardGiven 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.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics: Applications, Strategies an...EconomicsISBN:9781305506381Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. HarrisPublisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Managerial Economics: Applications, Strategies an...
Economics
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:Cengage Learning