Mary has been put in charge of a school function. She estimates that there is a fixed cost of $1020 for the site plus a cost of $4 per person that attends. If she charges $13 a ticket she can sell 300 tickets, but if she lowers the price to $6 she can sell 700 tickets. Assuming the demand price is linear, what price should she charge to break even while maximizing attendance?
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am. 157.
![Mary has been put in charge of a school function. She estimates that there is a fixed cost of $1020 for the site plus a cost of $4 per person that
attends. If she charges $13 a ticket she can sell 300 tickets, but if she lowers the price to $6 she can sell 700 tickets. Assuming the demand price is
linear, what price should she charge to break even while maximizing attendance?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b99c406-0469-487f-8cbc-92aa773a269b%2F8f7b6780-4e2d-4ea0-82c2-38198e6438a9%2Fwbc6btm_processed.png&w=3840&q=75)
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- 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 manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. p=600-0.1x and C(x)= 15,000+ 130x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenus? The company should produce phones each week at a price of $ (Round to the nearest cent as needed.) The maximum weekly revenue is S. (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce phones each week at a price of $ (Round to the nearest cent as needed.) The maximum weekly profit is $ (Round to the nearest cent as needed.)Cecil Green sells golf shirts. He knows that most people will not pay more than $40 for a golf shirt. Cecil needs a 35% markup on cost. What is the maximum Cecil should pay for his golf shirts? I need help working this problem out. I know the answer is $29.63 but I need it explain to me in detail how to come up with this answer so I know how to work it out on my midterm Tuesday. Please help
- Leonard Presby, Inc., has an annual demand rate of 1,000units but can produce at an average production rate of 2,000 units. Setup cost is $10; carrying cost is $1. What is the optimalnumber of units to be produced each time?XYZ company can manufacture their own products and sells them. They are able to control the demand by changing the price that is determined by the equation below. The company is thinking of maximizing their profit. The fixed cost is $1,000 per month and the variable cost is $40 per unit. Find the number of units that must be manufactured and sold monthly to maximize profit. (Demand D in the equation is monthly) Hint: Profit = Total Revenue - Total Cost 2,700 5,000 p = $38 + D for D > 1 D2 1 Add fileWhat is the difference between a price analysis and a cost analysis
- 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.Hand written solutions are strictly prohibittedA 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…
- Showing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down? Answer all questions neatly pleaseGiven 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.)(a) How would one estimate the full cost to an airline if one of its planes is held over for 24 hours in an airport for repair? (b) A company has spent $10 million to develop a product for market. During the product’s first two years, the company’s profit was $6 million. In recent years, the market was flooded by rival products and now the company is reassessing its product. If it abandons the product, it can recover $2 million of its original investment by selling its production facility. If it continues to produce the product, its estimated revenues for successive two-year periods will be $5 million and $3 million and its costs will be $4 million and $2.5 million. (After four years the plant will have zero resale value.) What would be the company’s best course of action? (c) Two decades ago, the global demand and supply curves for copper were: Qd = 15-10P and Qs = -3 + 14P, where Q is measured in millions of metric tons per year. Find the competitive price and quantity. Suppose that…
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