Engineering Economy (17th Edition)
17th Edition
ISBN: 9780134870069
Author: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 14P
a.
To determine
The optimal monthly sales for the product and profit at the optimal volume.
b.
To determine
The range of profitable
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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.
Kk.299.
A company produces two different versions of a certain product. Let q₁ indicate the amount produced of the
first version. The cost function c(q₁) for the first version (expressed in euros) can be described by the equation
c(q₁) =
9₁ · √√0.59² +59₁
10
a) For which value(s) of q₁ is the instantaneous rate of change of the cost function equal to 1.75? You
may use the graphical calculator to find zeros of a polynomial function if needed.
b) Using the result from a), give a precise economic meaning for the instantaneous rate of change of
1.75.
We now denote 92 as the amount produced of the second version. The equation of the cost function c(9₂)
for the second version is unknown. We do know that the current cost for a production of 2 units of the second
version is 50 monetary units and that the elasticity of the cost in terms of the produced amount when 92 = 2
is equal to 1.88.
c) Give a linear approximation ƒ of the cost function c(9₂) for production amounts close to q₂ = 2.
Chapter 2 Solutions
Engineering Economy (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
- The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x)=26x +18,625 and R(x)-200x-0.2x² for 0≤x≤ 1000. (A) Find the value of x where the graph of R(x) has a horizontal tangent line (B) Find the profit function P(x). (C) Find the value of x where the graph of P(x) has a horizontal tangent line. (D) Graph C(x), R(x), and P(x) on the same coordinate system for 0sxs 1000. Find the break-even points. Find the x-intercepts of the graph of P(x) (A) R(x) has a horizontal tangent line at x =arrow_forwardshow complete solution on a paperarrow_forwardA recent engineering was given the job of determining the best production rate for a new type of casting in a foundry. After experimenting with many combinations of hourly production rates and total production cost per hour, he summarized his findings in table below (column 2). The engineering then talked to the firm’s marketing specialist, who provided estimates of selling price per casting as a function of production output (see table 1 column 3). There are 8,760 hours in a year. What production rate would you recommend to maximize total profits per year? a) 100 ; b) 200 ; c) 300 ; d) 400 ; e) 500 show the computation how to solve it.arrow_forward
- A recent engineering was given the job of determining the best production rate for a new type of casting in a foundry. After experimenting with many combinations of hourly production rates and total production cost per hour, he summarized his findings in table below (column 2). The engineering then talked to the firm’s marketing specialist, who provided estimates of selling price per casting as a function of production output (see table 1 column 3). There are 8,760 hours in a year. What production rate would you recommend to maximize total profits per year? a) 100 ; b) 200 ; c) 300 ; d) 400 ; e) 500 Show handwritten solutions.arrow_forwardThe total cost a power plant ($/megawatts) to produce electricity is Y=12+1.3X+0.24 X2 , where X is in megawatts. The estimated selling price of electricity is (16-0.23X) per megawatts. Find the value of X that maximizes profit. Group of answer choices Less than 10 megawatts Between 10-12 megawatts Between 12-14 megawatts More than 14 megawatts Dontarrow_forwardExtreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $6600 per month. Materials and labor for each helmet of this model are $55, and the company sells this helmet to dealers for $85 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.) (a) For this helmet, write the function for monthly total costs C(x). C(x) = (b) Write the function for total revenue R(x). R(x) = ◇ For each additional helmet sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many helmets. For each additional helmet sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of helmets sold in order to make a profit. ◇ This is the profit (in dollars) when 200 helmets are sold, but since it is negative it means that the company loses money when 200 helmets are sold. (e) Find…arrow_forward
- Given = TC = f(q) = 0.3q2 -105q + 120,000 What volume should be produced for minimum cost? What is the minimum cost?arrow_forwardproduction function is Q = An orange grower has discovered a process for producing oranges that requires two inputs. The min{2x1, x2}, where x₁ and x2 are the amounts of inputs 1 and 2 that he uses. The prices of these two inputs are w₁ = 5 and w₂ = = 2, respectively. The minimum cost of producing 140 units is (a) $980 (b) $630 (c) $1400 (d) $280 (e) $700arrow_forwardThe 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?arrow_forward
- The cost of producing 5-gallon water bottles is given by C(q) = 0.005q2 + 2q + 1000. If 2000 5-gallon water bottles are produced, fint the average costarrow_forwardCost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is MC = 2x + 25, that its marginal revenue is MR = 73 – 6x, and that the cost of production of 80 units is $8,560. (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. There is a -Select--- v of $arrow_forwardA small business woman has realized that for one of her products, if the price per unit is GH¢20 she can sell 300 units a day. On the other hand, if the price per unit is reduced to GH¢13, she can sell 440 units a day. From the accounting records, her accountant has estimated the fixed cost of production as GH₵2,000 with a variable cost per unit of GH¢10. (i). Find an expression relating price and output assuming it is linear. (ii). State the total cost function, assuming it is linear. (iii) Advise the business woman on the level of production at which she will breakeven.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: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning