Problem 19. A local farm stand runs a pumpkin-pie baking business on the side. Let C(g)represent the total cost to the baking business, in dollars, of producing q pies. Some values of C'(q),which is a linear function, are tabulated below.100200 3001330 2530 3730 4930If pumpkin pics sell for S18 apicce, what is the smallest whole number of pies that must be sold inorder for the baking business to be profitable?(A) 187(B) 197(C) 222(D) 251(E) 252

We have to find the smallest whole number of pies that must be sold in order for the baking business…

Answered: Problem 19. A local farm stand runs a…

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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8. The Federal debt held by the public as a percent of the gross domestic product (GDP) is modeled by the function y = 0.00630t3 – 0.289t² + 4.00t + 25.3 where t is the time (in years) since 1980. Find the average public debt as a percent of GDP, from 2000 to 2015.
4. At Wally Motors, an auto engineer, in testing a new engine on one of its new models, found that the efficiency e of the engine as a function of the speed s of the car was given by e = 0.768s – 0.00004s. Here e is measured in percent and s is measured in km/hr. What is the maximum efficiency of the engine?
A. Find the average cost function for ? televisions produced. B. Find the instantaneous rate of change of the average cost function.
Suppose Becky gets a sales bonus at her place of work that gives her an extra $400 of disposable income. She chooses to spend $300 and save the remaining $100. From this, you can tell that Becky's marginal propensity to consume (MPC) is0.75 , and her marginal propensity to save (MPS) is0.25 . Mathematically, it must always be true that: Saving = a. Disposable income+Comsumption b. Comsumption-Disposable income c. Disposable income-Consumption Therefore, it must also be true that: MPS = a. 1-MPC b. 1+MPC c. MPC
It costs a coat manufacturer $8750 to make 125 coats and it costs $6500 to make 80 coats. Each coat is sold for $300. a. How much is the marginal cost? Round to two decimal places if rounding is necessary. b. What is the slope of the Profit function, P(x)? Round to two decimal places if rounding is necessary. c. How many coats must be sold in order to break even? Round to the nearest whole number if rounding is necessary.
1. Ji eun is the owner of a popular bakery located in Davao. Her bakery is famous for its homemade chocolate bars and because of this, she receives large orders left and right. She has the following pricing for large orders of chocolates. The first 100 chocolate bars of any order costs P70 each. Each of the next 150 chocolates only cost P60 each, and each chocolate ordered more than 250 costs P50 each. The total cost J is the function of the number of chocolates ordered x. She wants it to be organize so she wants to write a piecewise-defined function J. a) Write the Piecewise function J then solve how much will you pay if you ordered 310 chocolate bars.
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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