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- Profit Analysis Unendo, is a large computer game manufacturer. They have estimated that the demand function for their game "Star Wars Battlefront III" is as follows... STAR WARE BATTLEFRONT p = 86 - 0.05q 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 ... Clq) = 179 + 5000; 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. (Round your answer to 2 decimal places, if necessary)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?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 2
- The total profit equation for the firm is p =-500-25x-10x^2 -4xy-5y^2+15y ;x +y =100 .where x and y represents output levels.Us8ng substitution method determine the profit maximizing output levels for x and y .calculate the Predicted yearly profit levelsThe Berber Corporation's total cost function is 200 9Q3Q2 МС - 9+6Q ТC where TC is the total cost in dollars, Q is quantity, MC is marginal cost per additional unit and P is product price Which rule should Burr Corp use to select a level of output that will maximize profit? If the firm sells its product in a perfectly competitive market and the current market price for its product is $81, what is its optimal output rate (Q)? At this level of output what is its expected profit (n)?
- Phillips Industries manufactures a certain product that can be sold directly to retail outlets or to the Superior Company for further processing and eventual sale as a completely different product. The demand function for each of these markets isRetail Outlets: P1 = 60 - 2Q1Superior Company: P2 = 40 - Q2where P1 and P2 are the prices charged and Q1 and Q2 are the quantities sold in the respective markets. Phillips’ total cost function for the manufacture of this product isTC = 10 + 8(Q1 + Q2)a. Determine Phillips’ total profit function.b. What are the profit-maximizing price and output levels for the product in the two markets?c. At these levels of output, calculate the marginal revenue in each market.d. What are Phillips’ total profits if the firm is effectively able to charge different prices in the two markets?e. Calculate the profit-maximizing level of price and output if Phillips is required to charge the same price per unit in each market. What are Phillips’ profits under this…920 it bait of 289301 Sindspis ON SEU pilkupeni A30S AO +32 monulo2 An economist for a sporting goods company estimates the revenue and Cost functions for the production of a new snowboard. These Functions are R(x) = -x ² +10x and ((x) = 4x+5, respectively, where x is the number of Snowboard's produced in thousands. The average profit is defined by the function AP(x) = P(x), where pox) is the profit function & Determine the production levels that make AP(x) > 0 P-xdThe 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.
- Profit 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.Consider a company facing the following question function: 2500-50 Q The total cost function of the enterprise is: CT = 100 Q+ 10 02 %3D (a) the maximum profit obtainable by the undertaking which acts under monopoly conditions (b) the quantity of the product is calculated at the which the company's revenue is maximum, and the profit of the enterprise in correspondence with the quantitative oneä produced, to show that it is less than the maximum profit calculated earlier620 In the following demand and cost functions & is selling ponce ad Qis quantity in the Thousand P = 30-29 Tc = Q +5Q-30 0,570 what is the optimal prices maximize profits? to 48,000 wer is incorrect. rect answer is: