1.A division of Ditton Industries manufactures a deluxe toaster oven.Management has determined that the daily marginal cost function associated withproducing these toaster ovens is given byC'(x) = 0.009x² -0.13x + 17where C'(x) is measured in dollars per unit and x denotes the number of units pro-duced. Management has also determined that the daily fixed cost incurred in theproduction is 900.(a) Find the total cost incurred by Ditton in producing the first 300 units of thesetoaster ovens per day.(b) What is the total cost incurred by Ditton in producing the 201st through 300thunits/day?

A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that…

Answered: 1. A division of Ditton Industries…

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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If the marginal costs for the production of æ power drills can be modeled by the function C'(x) = 51 ya and the fixed costs are $17000, find the total cost associated with the production of 400 power drills.
Find the value of the marginal rate of technical substitution for the production function Q = 300K²/³L?/2 %3D when K = 40, L = 60. а. О.5 b. 2 c. 1.25 d. 1.5 e. О.75
If a manufacturer's average cost is given by AC = 0.002q2 - 0.24q + 776. Find: (a) the marginal cost function; (b) evaluate it when 60 units are produced.
. A calculator company found that the cost of producing x graphing calculators per day isC(x) = 4x + e^0.02x.(This ignores the original research and development cost, which is quite large.)(a) If each calculator is priced at $80, find a revenue function, R(x), which gives the revenuefor x calculators sold.(b) Find the profit function, P(x), which gives the profit per day when x calculators areproduced and each later sold for $80.(c) Find the value of x that will maximize P(x). Use the second derivative test to show thatit yields a maximum.(d) Given that one cannot produce a fraction of a calculator, find the daily production levelthat will maximize profit. Please answer in a complete sentence.
If the total cost to produce x units of an item is C(x) = 12x + 7 dollars, what is the marginal cost?
2. A student named Light happens to know that the total cost of producing a boxes x² of potato chips is given by C'(x) = +13300x + 5000 yen. The price-demand 100 function for a boxes of potato chips is p(x) = 17500 yen. Use marginals 100 to approximate the additional profit when the number of boxes of potato chips is increased from 50 to 51 boxes.
let'say. If 3(a) The cost of manufacturing motor cycles (per day) is related to number to number of motor cycles produced, per day. If the cost function (C) is related to the following equation as given, determine the optimum number of motor cycles that need to be produced, daily, corresponding to minimum cost. Note that X denotes total number of motor cycles manufactured per day. Total Cost (C) in SAR= (1/3)* x²- 200-X -50000*X.
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.005x3+0.07x2+18x+700, and currently 50 chairs are produced monthly. a) What is the current monthly cost? b) What is the marginal cost when x=50? c) Use the result from part (b) to estimate the monthly cost of increasing production to 52 chairs per month. d) What would be the actual additional monthly cost of increasing production to 52 chairs monthly?
Please assist with the step in solving the problem below. A company manufactures travel clocks. The daily marginal cost function associated with producing these clocks is C'(x)=0.000006x^2-0.001x+3 where C'(x) is measured in dollars/units and x denotes the number of units produced. Management has determined that the daily fixed cost incurred in producing these clocks is $130. Find the total cost incurred by the company in producing the first 600 travel clocks/day.
1 1. sec-1 x = cos™ -
18. The profit in dollars from the sale of x expensive watches is P(x) = 0.06x²-3x+7x0.4-5100. Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x = 300, the marginal profit is $ (b) When x=2000, the marginal profit is $ (c) When x = 6000, the marginal profit is $ (d) When x = 12,000, the marginal profit is $ (Round to the nearest integer as needed.) (Round to the nearest integer as needed.) .(Round to the nearest integer as needed.) (Round to the nearest integer as needed.) 19. Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function S(t) = 100-500t, where t represents time in years. Find the rate of change of sales for the following number of years. a. 4 years The rate of change in sales after 4 years is (Type an integer or decimal rounded to the nearest thousandth as needed.) b. 9 years The rate of change in sales after 9 years is (Type an integer or…
Find Cost Function C'(x)=x4+4$ 81 units Cost $ 1,629

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