Price or Cost (per unit) 18 16 14 12 10 8 6 4 2024680 (7.5, 0) MR -8 -10 1 2 3 4 5 6 7 8 9 10 11 Output (units per period) Demand ↓ structions: Enter your responses as a whole number. Identify the profit-maximizing rate of output and price in a situation where marginal cost is constant at $17 per unit. Output = units Price $
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- My student id is 2020-3-60-007 and (Departmental code - 101) (a) Plot Demand, Marginal Cost, Marginal Revenue and Average Total Cost curve inone graph. Identify the Profit maximizing level of price and quantity in the graph.(b) Calculate the Profit from the above graph given the following data:• Profit maximizing Price level is the first 4 digits of your EWU Student ID• Profit maximizing Cost level is the last 3 digits of your EWU Student ID• Profit maximizing Output level is the 2 digits (departmental code) from yourEWU Student IDQuestion 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 22AAWO AC I4 17.1 REVENUE, COST, AND PROFIT APPLICATIONSITSO RSYHAHD 797 20 A firm sells each unit of a product for $50. The total cost of producing x (thousand) units is described by the function C(x) = 10 – 2.5x² + x³ where C(x) is measured in thousands of dollars. (a) Use the marginal approach to determine the profit-maximizing level of output. (6) What is total revenue at this level of output? Total cost? Total profit? 1 The profit function for a firm is -000
- Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(q) = - 2.8q + 800, what profit can be earned if the price is set to be $550 per item? U The profit is $ 1,?9 (Round to the nearest cent.) A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs STT00 to produce each TV. The company projects that if it charges a price of $2300 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2000. Assumo a linear demand. What is the marginal profit if 200 TVs are produced It is $ 0 per item. (Round answer to nearest dollar.)The global pandemic 2020 has promoted a race to capture the market for introducing effective vaccine and treatments. (please use excel/word) a)- If PFIZER is the sole vaccine provider given the following information, answer the questions below: Output Price/Unit Total Cost 1 5500 1000 2 5000 1200 3 4500 1500 4 4000 2500 5 3500 4000 6 3000 5700 7 2500 7500 8 2000 9400 9 1500 11400 10 1000 13500 Given the tabular information above find the profit-maximizing output and price also illustrate the same using the two-dimensional labeled diagram. Show the calculation as well. (use excel) b)- Assume if many firms enter into the business of providing vaccine determine: How the demand curve of PFIZER would change and how it would now maximize its profit? The kind of market structure now PFIZER is forced to operate in? Also,…15 Suppose a company has fixed costs of $2100 and variable costs per unit of x + 1500 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 16 1600 1/64 (a) Find the break-even points. (Enter your answers as a comma-separated list.) -x dollars per unit. X = (b) Find the maximum revenue. $ (c) Form the profit function P(x) from the cost and revenue functions. P(x) = Find the maximum profit. $ (d) What price will maximize the profit? (Round your answer to the nearest cent.) $
- A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.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…A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit function
- Just 1 capsule of brand X can provide 24 hours of acid control ( Actual brand will not be named) what needs to be more clearly defined in this statement?Marginal Revenue for an Apartment Complex Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments is represented by the following function. P(x) = -6x² + 1620x - 36000 (a) What is the actual profit realized from renting the 61st unit, assuming that 60 units have already been rented? $ 40,434 X (b) Compute the marginal profit when x = 60 and compare your results with that obtained in part (a). $ 900Problem 1 A lash adjuster keeps the pressure constant on engine valves, increasing automobile engines' fuel efficiency. The relationship between price (p) and monthly demand (D) for lash adjusters made by the Wicks Company is given by this equation: D=(2,000-p)/0.10. 6 a) What is the demand (D) when total revenue is maximized? b) What important data are needed if maximum profit is desired? & 7 IAA fg 8 DII myhp np f10 DDI 9 fi Po 112 prt sc