They estimate that their cost function in dollars is... C(q) = 179 + 5000; %3D where the fixed cost is $5000 and the marginal cost is $17 per game Unendo wishes to maximize the weekly profit of producing and selling the game. Find the maximum profit they can earn.
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- What is die difference between accounting and economic profit?You're company manufactures on large scale unit and it has been shown that marginal or variable cost are given by this function (92-2x)sh where xis the number of units of output per annum the fixed costs are 800000 annually, it has also been shown that the marginal revenue which is the gradient ot the total revenue is given by (112-2x) ... required determine by integration the total cost, the total revenue , the break even point of your company and the number of units of output that would maximise total revenueProfit Analysis Unendo, is a large computer game manufacturer. They have estimated that the demand function for their game "Destiny 3" is as follows... p = 89 - 0.05g DESTIN Y V 3 where p is the price of a game and q is the number of game produced and sold per week. They estimate that their cost function in dollars is ... C(q) = 269 + 5000 where the fixed cost is $5000 and the marginal cost is $26 per game Unendo wishes to maximize the weekly profit of producing and selling the game. Find the number, q, of units that produces maximum profit.
- Break-Even The total revenue function for Frenchdoor refrigerators is given by R = 550x dollars, andthe total cost function for this same product is givenby C = 10,000 + 30x + x2, where C is measured indollars. For both functions, the input x is the numberof refrigerators produced and sold.a. Form the profit function for the refrigerators fromthe two given functions. b. What is the profit when 18 refrigerators areproduced and sold?c. What is the profit when 32 refrigerators areproduced and sold?d. How many refrigerators must be sold to breakeven on this product?Revenue and Cost The total weekly revenue functionfor a certain digital camera is given by R = 550xdollars, and the total weekly cost function for thecameras is C = 10,000 + 30x + x2dollars, where xis the number of cameras that are produced and sold.a. Find the profit function.b. Find the number of cameras that gives maximumprofit.c. Find the maximum possible profit.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.Question 1 A computer retailing company specializes in the sale of jump drives to community college students The demand function for jump drives is p=2x- +10=1000 dollars For the samne company the average cost function is given as. 2+36v-1600 - dollars Where pis the price n dollars and x represents units ofiourput. Determine the revenue function Determine the cost funetion Determine the profit function Find the price and output that will maximıze profir, Find the maximum profit 11 111) Iv) Ouestio n 2Mon Tue Wed Thu Fri Sat Sun Notes yue cost Functi ou and price per unit function of setling x vinit of calculators are c(x) =°0.1x+ 2x+500 and X= 200-p hspectively calculeate the ) revenue Functon ) Elaborate the of cakulators are produced. marginal cost when 5 units t) maximun protit
- show solution An oil refinery produces one base type of crude oil. The total cost is given by the equation Total Cost, TC = 50,000+20.2D +0.0001D2. The sales price in dollars per barrel is 35. At what level of production in barrels/week is cost/barrel minimum? What is the minimum cost per barrel? What is the maximum weekly profit that the company can make? At what level of production is the maximum weekly profit attainable? and Over what range of production is profit possible? Express answers in whole numbers and write the numerical values only.A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. Determinethe Marginal cost and interpret the results.QUESTION 14 Suppose a busness owner operates her business out of a building that she owns. Also assume that there are ho malntenance or utlity costs associated with the building This means that it is costless for the business owner to use the buildng to operate the business O True O False QUESTION 15 if the 15th unit of output has a marginal cost of s29.50 and the average total cost of producing 14 units of output is 3021 what will happen to the average total cost is the 15th unit is produced? O Average Total Cost will fal. O Average Total Cost will increase O Average Totual Cost could increase or decrease deperiding on whar happets to variable cost O Average Total Cost could inorease or decrease depending.on what happens to fed cost