A company manufacturers and sells x electric drills per month. The monthly cost and price-demand equations are C) = 73000 + 60x, PC) = 210 - 30' OSIS S000. (A) Find the production level that results in the maximum revenue. Production Level = (B) Find the production level that results in the maximum profit. Number of drills = (C) Find the price that the company should charge for each drill in order to maximize profit. Price =
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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 company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately D = 1560 – 20p units (D is the demand of quantity sold per month, and p is in dollars.) The fixed cost is $800 per month, and the variable cost is $30 per unit produced. The demand that maximizes the revenue is:A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 75 – 0.1D units (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,000 per month and the variable cost is $30 per unit produced. Solve, a. What is the maximum profit per month related to thisproduct? b. What is the range of profitable demand during a month?
- 1-24 A couple of entrepreneurial business students at State University decided to put their education into practice by developing a tutoring company for business students. While private tutoring was offered, it was determined that group tutoring before tests in the large statistics classes would be most beneficial. The students rented a room close to campus for $300 for 3 hours. They developed handouts based on past tests, and these handouts (including color graphs) cost $5 each. The tutor was paid $25 per hour, for a total of $75 for each tutoring session. (a) If students are charged $20 to attend the session, how many students must enroll for the company to break even? (b) A somewhat smaller room is available for $200 for 3 hours. The company is considering this possibility. How would this affect the break-even point?Many times, the selling price of a product, p, is related to the demand, D, according to the relationship p=a-bD. However, a company has found that the price of their product can be related to demand ( in units per year) according to the following equation: p= $88.5 – (0.5)D0.5 . In addition, there is a fixed cost of $20,000 per year and the variable cost to manufacture the product is $20 per unit. a. What level of demand maximizes total revenue and the maximum revenue? b. What level of demand maximizes total profit for this product and the maximum profit?A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?
- A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?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. b) Find the breakeven quantity c) How many units must be sold to maximize profit? d) What is the company’s maximum profit?A company has determine the price and the monthly demand of its products are related by the equation D= √400-p where p is the price per unit in dollar and D is the monthly demand. The associated fixed costs are $1,125 per month and the variable costs are $100/unit. Use this information to answer the following: What is the optimal number of units that should be produced and sold each month? Determine the value of D that represents the break-even point?
- A firm plans to begin production of a new product. The manager must decide whether to buy the product from a contractor at $19 a piece or to produce them in house. There are two alternative processes that could be used for in-house production: Process 1 has a (annualized) fixed cost of $ 150,000 and a variable cost of $16 per unit. Process 2 has a (annualized) fixed cost of $ 80,000 and a variable cost of $17 per unit. The product sells for $20 per unit. Determine the range of demand for which the manager would choose each option as the best option.A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 77 – 0.12D units. The fixed cost is $800 per month and the variable cost $25 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product? Round your answer to 2 decimal places.Round off your final answer to whole #. A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is p=45 + 2700/D - 5000/D2 for D > 1 The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $38 per unit. What is the number of units that should be produced and sold each month to maximize profit?