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- Please answer with details on how to do it. A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV Revenue = Demand x Price, TR = D x P Profit = Total Revenue – Total Cost, P = TR – TC a) Develop the equations for the total cost and total revenue. Find the breakeven quantity c) How many units must be sold to maximize profit? What is the company’s maximum profit?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…The following graph illustrates the weekly demand curve for motorized scooters in Roanoke. Use the green rectangle (triangle symbols) to compute total revenue at various prices along the demand curve. Note: You will not be graded on any changes made to this graph. PRICE (Dollars per scooter) 260 240 220 200 180 160 140 120 100 80 60 40 20 0 0 9 18 27 A X B Demand 36 45 54 63 72 81 QUANTITY (Scooters) 90 99 108 117 Total Revenue ?
- Please no written by hand the demand function for a manufacturer's product is p = f(g) = - 0.20g + 500, where p is the price (in dollars) per unit when q units are demanded (per day). Find the level of production that maximizes the manufacturer's total revenue and determine this revenue. what quantity will maximize the revenue. q = blank unitsA 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.The total revenue and total cost functions are given as TR=500-0.000250² TC = 361250+5Q+0.00020² What is the profit maximizing quantity? Answer Choices: a. 43675 b. 30,000 c. 40,000 d. 50,000
- 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 functionFind output of total revenue is $6400 and the price per unit is 400Hand written solutions are strictly prohibitted
- Price ($) 1000 500 300 0 300 500 Supply Demand What is the total cost of producing 300 iPads? 1000 QuantityThe demand function for a crrtain product is giving by p=500+1000/(Q+1). where p is tje price and q is the number of units demand. Fimd the average price as demand ranges from 49 to 99The 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,…