The total cost function for a product is given by C(x) = 3x3-9x² -243x + 1229, where x is the number of units produced and C is the cost in hundreds of dollars. Use factoring by grouping and then find the number of units that will give a total cost of at least $50,000. Verify the conclusion with a graphing utility. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The values of x that make the total cost of at least $50,000 are the point(s) (Use a comma to separate answers as needed.) OB. The values of x that make the total cost of at least $50,000 are the interval (Type your answer in interval notation.) OC. There are no values of x that make the total cost of at least $50,000.

The total cost function for a product is given by C(x) = 3x3-9x² -243x + 1229, where x is the number of units produced and C is the cost in hundreds of dollars. Use factoring by grouping and then find the number of units that will give a total cost of at least $50,000. Verify the conclusion with a graphing utility. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The values of x that make the total cost of at least $50,000 are the point(s) (Use a comma to separate answers as needed.) OB. The values of x that make the total cost of at least $50,000 are the interval (Type your answer in interval notation.) OC. There are no values of x that make the total cost of at least $50,000.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Here is the production cost function, in $ of producing q units of a product: 2200 C(q) = 300 +0.8q2 + %3D and the demand function of the product is: p(x) = 200 - 0.05q a. Determine the marginal cost, marginal revenue and marginal profit when q=50 and q=150? b. Interpret the results of the calculation in part (a) if it is related to cost, revenue and profit?
The technical rate of substitution between factors x2 and x1 is −4. If you desire to produce the same amount of output but cut your use of x1 by 3 units, how many more units of x2 will you need?
Consider the following function: Ĉ = 0.03q + 6 + 200/q - determine the approximate cost to increase production from 200 units to 201 units - determine the function of marginal cost
Write the technical rate of substitution expression for f(x1, x2) = (x1 - 1)0.25 x20.5
For the following problem, what would be the objective function that aims at minimizing the total cost considering that X1, X2, X3, and X4 are the number of units produced and sold of Products 1, 2, 3, and 4, respectively? Manufacturing time (hr) per unit Machine Cost per hr ($) Product 1 Product 2 Product 3 Product 4 Capacity (hr). 10 2 4 2 500 5 3 1 2 380 4 7 1 450 Unit selling price ($) 75 45 O a. 20X1+30X2+40X3+20X4 O b. None of the answers OC. 75X1+70X2+55X3+45X4 Od. 63X1+52X2+53X3+34X4 123 دي دا فيا 70 2 55
3. Minimize the following total cost function: TC = Q³ – 10Q2 + 48Q + 46.
For the given cost function C(x)=250√x+ x^2/3375 -finda) The cost at the production level 1100 (ANSWERED, 8650.079) b) The average cost at the production level 1100 (ANSWERED, 7.86) c) The marginal cost at the production level 1100 (ANSWERED, 4.42) Since I have the answers for the three subparts above, how would I answer the two subparts: d) The production level that will minimize the average cost. e) The minimal average cost.
production function is Q = An orange grower has discovered a process for producing oranges that requires two inputs. The min{2x1, x2}, where x₁ and x2 are the amounts of inputs 1 and 2 that he uses. The prices of these two inputs are w₁ = 5 and w₂ = = 2, respectively. The minimum cost of producing 140 units is (a) $980 (b) $630 (c) $1400 (d) $280 (e) $700
A manufacturer estimates that its product can be produced at a total cost of c(x)=40,000+100x+x^3 dollars. If the manufacturer's total revenue from the sale of x units is R(x)=4300x dollars, determine the level of production x that will maximize the profit. Find the maximum profit.
For the given cost function C(x) = 40000 + 700x + x² find: a) The cost at the production level 1700 b) The average cost at the production level 1700 c) The marginal cost at the production level 1700 d) The production level that will minimize the average cost e) The minimal average cost
A manufacturer!s total cost is C(x) = 0.1x3 - 0.25x2 + 300x + 100 dollars, where x is the level of production. Estimate the effect on the total cost of an increase in the level of production from 6 to 6.1 units