XYZ Corporation produced 300 units of output but sold only 250 of the units it produced. The average cost of production for each unit of output produced was $100. Each of the 250 units sold was sold for a price of $95. What would total revenue for XYZ Corporation be? -$3875 $3875 $23,750 $25,500
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- Attempt all questions. Q1. a) A local Pepsi company has total costs of production given by the equation TC-500+10q+Sq2. This implies that the firm's marginal cost is given by the equation MC 10+10q. The market demand for cold drink is given by the equation QD-105 (1/2)*P. Write the equations showing the company's average total cost and average variable cost and average fixed cost, each as a function of q. Show the firm's MC, ATC and AVC on one graph. What is the breakeven price and breakeven quantity for this firm in the short run? What is the shutdown price and shutdown quantity for this firm in the short run? If the market price of the output is $50, how many units will this firm produce? iv) Assuming the cold drink industry is perfectly competitive, what output would be produced by the firm in long-run equilibrium? What would be the long-run equilibrium price? i) ii)The 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)?Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to beMC=q+35 MR=560+22q−q2Where q is the quantity produced and the firm’s break-even is 5 units per weekYou are Required to1. determine the total cost and the total revenue function in terms of q.2. estimate the output at which profit is maximize3. calculate the maximum profit
- A donut shp has a fixed cost of $92000 per day and a varibale cost of $2 for each donut produced. If the donuts are sold to distributors for $5 each. What is the price-demand function? What is the revenue function?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. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…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
- Q3. The management of a manufacturing company has the following information: Revenue function: R = 3600Q– 25Q² Profit-maximizing price is OMR 2100. al Using the above information, determine the following: i. Profit-maximizing quantity. ii. Revenue-maximizing quantity. b\ Suggest a cost function which results in a maximum profit value to be between OMR (20000 and 60000), write the maximum profit value.A manufacturer of electric switches in a competitive industry has a fixedmonthly cost of $50,000, total monthly variable cost $100,000, and marginalcost of $5. What is the profit if the monthly production is 100,000 units?Assuming that prices of switches fluctuate from month to month, what is the lowest price the manufacturer can accept in order to stay in business in the long run and in the short run. Will those prices be the same? Show detail workQ3. The management of a manufacturing company has the following information: Revenue function: R = 2700Q – 15Q? Profit-maximizing price is 1500 units. 1\ Using the above information, determine the following: i. Profit-maximizing quantity. ii. Revenue-maximizing quantity. 2\ Suggest a cost function which results in a maximum profit value to be between OMR (25000 and 65000), write the maximum profit value.
- 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 .Pixie Arts and Graphics, a medium scale printing press business has determined the equation that describes the relationship of the price and demand of one of its products as Price=150 - 0.01•D (D as Demand per unit) for an annual printing of this product. The fixed costs annually = P50,000 and the variable cost = P40 per unit. Requirement: a. What is the maximum profit that can be earned? b. What is the unit price at this point of optimal demand if demand is not to be anticipated to exceed more than 6,000 units annually? Hint: Profit (loss) = total revenue – total costs = (aD – bD²) – (Cf + CyD)In the market for foam fire retardant there is only one firm. The demand func-tion for the product is Q = 15,000 – 10P where Q is the annual sales quantity in tons and P is the price per ton. The firm’s total cost function (in dollars) is C = 1,400,000 + 300Q + 0.05Q2.a) How much foam fire retardant should this firm produce and sell in order to maximize its profit? What price should it charge?b) Compute the firm’s total profit.c) Suppose now that the firm faces a 20% increase in variable costs. Determine what impact this will have on the firm’s optimal choice.