Suppose that the total cost in dollars of producing x units of a product is given byC(x) = 20,000+ 15xex/500,Find the marginal cost when 500 units are produced. (Round your answer to the nearest cent.)$43039.46Need Help? Read ItWatch It

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Answered: Suppose that the total cost in dollars…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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16. A graphing calculator was purchased for Po dollars in 2018. The value of the calculator P (in dollars) can be expressed as a function of t, the number of years since 2018. Write a formula for P if the value of the calculator decreases by 7% each year. (a) P(t) = Po(0.07) (b) P(t) = Po – (0.07) (c) P(t) = Po(0.93) (d) P(t) = Po(0.3) (e) P(t) = Po - (0.93)
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The value of a machine, V, at the end of t years is given by V = C(1-r)', where C is the original cost and r is the rate of depreciation. Find the value of a machine at the end of 4 years if the original cost was $2387 and r = 0.2. Round to the nearest cent. Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts
2. You bought a new computer for $2,500. Four years later, your computer is valued at $1,250. a. Assume that the cost function will be linear and write a linear function to describe the cost of the computer ?t years after you bought it. b. Assume that the cost function will be exponential (think of exponential decay) and write an exponential function to describe the cost of the computer ?t years after you bought it. c. For each function you just wrote, find the rate at which the cost is depreciating 3 years after you bought it. d. Which function do you think would be more accurate? Write a complete sentence or two describing why you think so.
3. Caroline puts S400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).

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Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 20,000 + 15xex/500 Find the marginal cost when 500 units are produced. (Round your answer to the nearest cent.) $ 43039.46 X