A company has two wings producing two products - Product 1 and Product 2. P and P2 are price per unit for Product 1 and Product 2respectively. Similarly, q1 and q2 are the respective amount of units produced for Product 1 and Product 2. Pj and P2 are related to qı and q2 bythe equationsP = 155q2 + 26q – $92,P2 = 295q1 + 18q{ – 9ź91-The total cost of production for the company is given by,C = 100q192.The total relative profit is R =total profit/total cost , where total profit =total revenue – total cost; and total revenue = ( Price per unit of product1* quantity of product 1) + (Price per unit of product 2 * quantity of product 2)a. Find the relative profit Ras a function of q1 and q2 and simplify the expression.b. Given that the company produces q1 units of Product 1 what amount of units q of Product 2 will maximize the total relative profit Rfor thecompany.c. Given that the company produces q2 units of Product 2 what amount ofhits qProduct 1 will maximize the total relative profit Rfor thecompany.

Answered: Image /qna-images/answer/b4282cb8-e145-406a-8b15-a813d03c0cce.jpg

Answered: A company has two wings producing two…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Suppose the input combination currently used by a producer is such that the TRS is equal (in absolute value) to the ratio of the input prices. Then, we can conclude that the producer is maximizing her profits. Group of answer choices True False
A sheet of paper 80 cm-by-72 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form. X = is the max.
For a certain company, the cost for producing x items is 60x + 300 and the revenue for selling x items is 100x – 0.5x². - The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratio polynomial.) Part b: Find two values of x that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va, type sqrt(a). x = Part c: Is it possible for the company to make a profit of $15,000?
Suppose the joint cost function of a firm producing two products X and Y is given by C = 250X2 + 120Y2. Assuming that output of the two products is restricted at 1480. Using Lagrangian multiplier technique find the amounts of X and Y that will minimize cost and compute this cost. Also examine the cost implications of changing this optimal combination so as to produce equal amounts of both products
The demand function for apples is the following. Qn = 10 – Pn + 0.2Y +0.5 Pc – 2Ps + 0.2A Where: Qn = annual sales of apples (millions of kilos) Pn = price of apples (£1 per kilo) Y = disposable income in the UK £trillions (£10 trillions) Pc = price of a pies £ per kilo (£2 per kilo) Ps = price of pear (£2 per kilo) A = advertising measured in hundreds of thousands of £5 (use as 5 in your calculations) Q. How much will the demanded quantity change if the price of apples increases to 1.5? a. It will decrease by 0.4 million kilos. b. It will decrease by 0.5 million kilos. c. It will increase by 2 million kilos. d. It will increase by 0.5 million kilos. e. All the other answers are wrong.
Differentiate the function. g(x) = (x⁹ - 8x)-2 g'(x) = Differentiate the function. 5 f'(s) = f(s) = (2s7 + 1)4 Differentiate the function. 1 g(x) = (2x+5x+1) 3/4 g'(x) = Differentiate the function. dy y = √√√3x² + 6x + 2 dx
You manage two chocolate factories. Using only these two factories, you must produce exactly 420 kgs of chocolate daily at lowest possible cost. Mathematically, you have: Q1 = Quantity produced at Chocolate Factory #1 Q2 = Quantity produced at Chocolate Factory #2 Daily total overall production: Q1 – Q2 = 420 At present, each factory produces half the overall requirement. This means that Q1 = 210, Q2 = 210 a) Following your logic , you realize that as long as the marginal cost is different between the two factories, you can lower overall cost while maintaining production at 420 kgs. So, to reduce the overall cost to the lowest possible, you decide to move more than 1 kilogram from one factory to another. As a result, each factory will produce a different quantity of chocolate while the overall daily production remains at 420 kgs. To minimize overall cost, how many kilograms will you order/instruct Factory #1 to produce? Q1 = ____________kgs And how many kilograms would you…
ABC company creates specialty shipping bags that they sell to pharmaceutical companies across the globe. With their current equipment, ABC can produce 12,000 shipping bags for every 10 bundles of materials purchased. Every month (20 working days), ABC purchases 100 bundles of materials. Each bundle requires one (1) labor minute to process, and every labor hour costs an average of $14.00. Each week (5 working days), ABC pays $5,000 inoverhead costs, and equipment costs $600 a day to operate. (a). How many shipping bags does ABC produce in a standard month (20 working days)? Each workday (8 hours)? (b). What is the single-factor productivity for labor, per workday (8 hours)? Whatis the multi-factor productivity, for every dollar spent per shipping bag?
The demand and supply of pizza is defined by the following equations: Qd = D(P, Y ) = 1 + Y − 2P Qs = D(P, PM) = 2 P/PM where, Qd is quantity demand, P is the price of each pizza sold, Y is the average income of consumers, Qs is the quantity supplied, and Pm is the price of inputs used in the production of pizza. (a) List the endogenous and exogenous variables of this model (b) Find the equilibrium price Pe and quantity Qe of pizza as a function of the exogenous variables. (c) Use a simple demand and supply diagram to show what happens to the equilibrium price and quantity when there is an increase in one of the exogenous variables.
Refer to the attached image to determine the price and quantity for the following questions below. allocative efficiency dynamic efficiency Pareto efficiency
The demand function for apples is the following. Qn = 10 – Pn + 0.2Y +0.5 Pc – 2Ps + 0.2A Where: Qn = annual sales of apples (millions of kilos) Pn = price of apples (£1 per kilo) Y = disposable income in the UK £trillions (£10 trillions) Pc = price of a pies £ per kilo (£2 per kilo) Ps = price of pear (£2 per kilo) A = advertising measured in hundreds of thousands of £5 (use as 5 in your calculations) What direction should the apple producers move the price if they wanted to maximize their revenue? a. There is not enough information. b. Don't change the price. c. Cut the price. d. Raise the price.
The manager of a hockey arena is pricing tickets for an upcoming game. She knows that if she increases the ticket price she will sell fewer tickets. The situation is modelled by the relation, R = -88.9p^2 + 2667p, where R is the total revenue and p is the ticket price, both in dollars. The graph is given.

SEE MORE QUESTIONS

Recommended textbooks for you

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

Principles of Economics (MindTap Course List)

Economics

ISBN:

9781305585126

Author:

N. Gregory Mankiw

Publisher:

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 & Business Strategy (Mcgraw-…

Economics

ISBN:

9781259290619

Author:

Michael Baye, Jeff Prince

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS