9) A consulting firm, using statistical methods, provided a veterinary clinic with the cost equationC(x) 0.00048(x-500)3 +60000,100x1000where C(x) is the cost in dollars for handling x cases per month.a. Write an equation for the average cost functionb. Graph C(x) on the domain given and modify the scales as needed40-20-10510х-20-40c. Find the monthly caseload for the minimum average cost per case. What is the minimum average costper case?

a.The average cost function can be obtained as follows.

Answered: 9) A consulting firm, using statistical…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The price p (in dollars) and the demand x for a particular clock radio are related by the equation x=2000−20p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 1200 clock radios. (D) Interpret R′(1600)=−60.00.
21. Suppose the number of users for a new social media app increases according to y = Yoe0.1t where y is measured in millions and t is measured in weeks. How long will it take for the number of users to triple? (a) In(30) weeks (b) 10 In(3) weeks (c) 10 In(3yo) weeks (d) 0.1 In(3) weeks (e) 3 In(1.1) weeks
(b) Towns A and B are 12 km apart. A cyclist leaves A and travels to B at an average speed of y km/h. From B, he returns immediately to A with an average speed reduced by 2 km/h. (i) Find, in terms of y, the time taken for the journey from A to B. (ii) Find, in terms of y, the time taken for the return journey. (iii) Given that the total time spent to travel from A toB and back to A is 5 hours, write an equation satisfied by y. (iv) Solve the equation written in part (iii). (v) Give a simple reason why one of the values of y obtained in part (iv) is not valid.
(1) 29.46 Km/n 63. The length of a rectangular field is twice its breadth. If the rent of the field at 73,500 per hectare i 200 find the cost of surroundings it with fence 5 per metre. (3) 76,500 (1) 76,000 (2) 7,000 (4) 78,000 nd ansuer the following questions.
3.) The revenue equation (in billions of dollars) for corn production in the United States is approximated by R(x)=0.016x² +1.034x+11.338 Where x is in billions of bushels. For example if you have 10 billion bushels, then x = 10. (Data from www.usda.gov) a.) Find the marginal revenue function b.) Find and interpret the marginal revenue for 15 billion bushels c.) Find and interpret the marginal revenue for 20 billion bushels

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