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- Suppose a fim has two plants with the following costs Plant 1: C, -4a -3000 1,000.000 and Plart 2 -16-600g -2,000,000. At what output in the verage cost minimized in each plant? Plant 1 average costs are minimized at output q (Enter a numerio response using an integer)An increase in the cost of heating and cooling a building may not reduce NOI if these costs can be passed along to the companies that lease the space. true of falsePlease no written by hand and no emage Suppose that a company that makes and sells hand-crafted artwork has a cost function C(x) = 24x + 300, where x is the number of items made, and a revenue function R(x) = 45x, where x is the number of items sold. What is the profit from the 28th item made and sold? There is a $ sign listed next to the answer box, so do not type a $ sign in your answer.
- Help Save Suppose a corporation has two subsidiaries, one of which is unregulated and sells all of its output to the other, regulated subsidiary. Permitted profits at the regulated subsidiary are equal to 10 percent of total costs. The initial profit picture for the subsidiaries is provided in the table below: Unregulated Subsidiary Regulated Subsidiary Total $ 650,000 N/A revenue $ 350,000 $300,000 $1,000,000 $ 100,000 Total costs Total profit If the unregulated subsidiary doubles its selling price to the regulated subsidiary, what are the new profits at Instructions: Enter your responses as a whole number. (a) The unregulated subsidiary? profit = $ (b) The regulated subsidiary? profit = $ & 23 24 8. *00 w/ %S4The price-demand equation and the cost function for the production of table saws are given, respectively, by x=8,000 - 40p and C(x) = 112,000 + 70x, where x is the number of saws that can be sold at a price of Sp per saw and C(x) is the total cost (in dollars) of producing x saws. Complete parts (A) through (1) below. (A) Express the price p as a function of the demand x, and find the domain of this function. The price function is p= Determine the domain of this function. Select the correct choice below and fill in the answer box(es) within your choice. O A. ISXSO О в. х2 Ос. х»‑ OD. IRMC, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2/5 ton of material 1 and 3/5 ton of material 3. A ton of solvent base is a mixture of ½ ton of material 1, 1/5 ton of material 2, and 3/10 ton of, material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced. RMC’s production is constrained by a limited availability of the three raw materials. For the current production period, RMC has 20 tons of material 1, 5 tons of material 2, and 21 tons of material 3 that are available for production. Assuming that RMC is interested in maximizing the total profit contribution, answer the following: a. Find the optimal solution. How many tons of each product should be produced, and what…A toy manufacturer makes miniature trucks. The pricep(in dollar) and the demandx(numberof miniature trucks) are related by the equation 6000−600p=x. The total cost for the sametoy manufacturer to producexminiature trucks can be modeled byC(x) = 8x+ 450.(a) (10 points) Express the pricepin terms of the demandx. Find the revenueR(x) if themanufacturer sellsxminiature trucks in a month and find the domain of this function.(b) (10 points) Graph the cost and revenue functions on the same coordinate system for 0≤x≤6000.(c) (10 points) What is the minimum number of trucks the toy manufacturer must sell tobreak even?(d) (10 points) FindP′(300) and interpret the result.(e) (10 points) What is the exact profit from the sale of the 301stminiature truck?The Rainwater Brewery produces beer. The annual fixed cost is $150,000, and the variable cost perbarrel is $16. Price is related to demand according to the following linear equation.v -75,000 1,153.8pDevelop the nonlinear profit function for the brewery and determine the price that will max-imize profit, the optimal volume, and the maximum profit per year.The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x - 0.1x² +0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 R =² C 100 200 200 300 300 X 400 400 X Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 XAVX makes and sells a single product Z. The selling price and marginal revenue equations for product Z are as follows: Selling price- 230o-0.025x Marginal revenue - 230-0.05x The variable costs are E40 per unit and the fixed costs are £135,000. If the selling price was set to maximise revenue, calculate the resulting profit. Please type your answer (including your workings) in the box below. Please use the arrow keys on your keyboard to scroll up and down within the text box (as using the mouse may not work).A trailer manufactor has multiple products designed to be towed by a pickup (Ford F-150, Toyota Tacoma, etc). The production of one of their products - the XL7 5x10 trailer - referred to as XL7510 here, has a fixed 9 cost of $62,308 and a variable cost per unit of XL7510 equal to 202 + - dollars, where is the total 10 number of XL7510s produced. Suppose further that the selling price of this product is 1118 The x-values of the break-even points are The maximum revenue is Form the profit function: P(x) = = The maximum profit is The price that will maximize profit is 1 - dollars per unit of XL7510. 10 dollars (round to the nearest cent) dollars (round to the nearest cent)Company E is trying to decide whether to buy a new technology machine for use in its production. In the case of purchasing the new machine, the annual fixed costs of the enterprise will increase from 1, 520, 000 TL additionally plus 90, 000 TL, but the unit variable cost will decrease from 36 TL to 24 TL. In case the business decides to renew (buy decision) the machinery, which of the following will be the profit function? a. K = 24 x - 1,610,000 b. K = 36 x 1,610, 000 c. K = 1,610, 000 - 24x d. K= 1, 610,000+ 36xSEE MORE QUESTIONS