DEL CONTENT X DZ1 Religious Vi X WebWork: X D2L Review Test Xlearn.xula.edu/d21/le/content/44919/viewContent/634451/ViewQ个6 of 6x16 If 2 is a root of f(m)Sy 0=3x^3+4x X+ 180%3 2.-2 ICourse Cale Xa) Find the number of items such that the cost is minimum.b) Find the minimum cost.15. The cost of producing items in company XYZ is given by C(x) = 120, 000 - 0.2x +0.001x².Salud, Chap X D2L Ch-5-Sp-19 X078 Google Cale X冉 ☐>>>

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Answered: 15. The cost of producing x items in…

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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3. A firm can produce only 1000 units per month. The monthly total cost is given by C(x) = 300 + 200x, where x is the number produced. If the total revenue is given by R(x) = 250x - x², how many items,x, should the firm produce for maximum profit? Find the maximum profit. 100
A company has cost function CX) -x-5x+750. Determine the marginal cost function for company. Select one: a. C'(x) -X +5x-750x 96. C()-2x-5 c. C()- 2x+5 Od.c()%D Sx+750x VEXTPAGE DELL F F10 F11
Suppose a company has fixed costs of $1800 and variable costs per unit of x + 1510 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1600- - dollars per unit. 8 (a) Find the break-even points. (Enter your answers as a comma-separated list.) X = (b) Form the profit function P(x) from the cost and revenue functions. P(x) = (c) Find the profit when the selling price is $1,594.38. Round units and profit to the nearest whole number. $
A firm's short-run cost curve for any given level of capital K is C(K,Q) K+K-1/2Q2: Find the equation of the long-run average cost curve and sketch its graph. Explain why this curve is different from the curve traced out by the minimum points of the short- run average cost curves.
24. The revenue and the cost functions for producing x gizmos are R(x) = 200 x - x² and C(x) = 5000 + 8x . a. Find the profit function P(x). b. How many gizmos should be produced to maximize the profit? What is the maximum profit?
The cost functions to produce x tires for two businesses are: (a) Business A: C(x) = 350 + 40 -x + 0.12 - x² (b) Business B: C(x)=280 + 50 -x+ 0.09 · x² Find the marginal cost for both businesses. For x= 500 , which business can produce the next tire the cheapest?
Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.
A manufacturing process has a total cost function given by the equation C = 10 + 4x and a total revenue function given by the equation R = 22x - 4x2 where x is the quantity produced in ’00 units and C and R , are both N$’00. i. Using the cost equation, C = 10 + 4x, identify the value of the company’s fixedcosts (i.e. those that remain constant irrespective of the quantity produced) andvariable costs (i.e. those that vary according to production) for thismanufacturing process. ii. Construct a table to calculate the value of C and R using the values 0, 1, 2, 3, 4and 5 for x. iii. (Using the data from the table in (ii), plot a fully labelled graph for C and Ragainst x. Use the graph drawn in (iii) to determine:iv. The quantity of units produced where the manufacturing process breaks even(i.e. where neither a profit nor a loss is made). v. The range of x in which the manufacturing process makes a profit and the rangein which the manufacturing process makes a loss. vi. The profit or loss…
17. Suppose a local office supply company sells erasable pens and that their profit (in dollars) for selling x pens is given by the function, P(x) = -.004x +15x–1000 %3D a) How many pens should be made and sold to maximize profit? Solution: b) What will the maximum profit be? Solution: c) How many pens must be made and sold for the profit to be $8000? Round to the nearest who
Suppose demand is given by p = 1600 − x. Find the maximum revenue.
b) A company finds that it can sell out a certain product that it produces, at the rate of 7 2 Tk.2 per unit. It estimates the cost function of the product to be Tk. 1000 + for x units produced. Find the number of units produced that will maximize profit. What is the amount of this maximum profit? What would the profit if 6000 units are produced?
Let C(x)=x³/3 -7x²+49x + 400 be the total cost, in dolar, of the quantity x produced of a certain product, mark the incorrect alternative a) This total cost function is always increasing.b) The 8 piece will cost the company $ 514.67. c) A good approximation of the cost value of the 6" part is USD 4.00.d) The graph of this function is concave down to x = 7. e) The exact cost of the 10 piece is $ 6.33.

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15. The cost of producing x items in company XYZ is given by C(x) = 120, 000 - 0.2x +0.001x². a) Find the number of items such that the cost is minimum. b) Find the minimum cost.