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- 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?An entrepreneur named Khadijah has total revenue shown by the equation TR = 150Q - 5Q² and total costs shown by the equation TC = 20 - 10Q. Determine the amount of output that must be produced by Khadijah to get the maximum profit and what is the maximum profit from that amount of output. Prove that the value obtained is the maximum!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?
- An investor has agreed to produce 100 waffles/day for a restaurant, which is willing to pay 5₺ for each waffle. A waffle machine is urgently required to begin production. Meanwhile, the investor quickly finds two waffle machines from a supplier. Each machine has an expected 1-year lifetime. a.Please demonstrate the break-even points for both options, separately. b.After producing for one-year, which option will lead to more profits?nd 35. AVERAGE SUPPLY A manufacturer supplies S(p) = 0.5p² + 3p + 7 hundred units of a Sie per certain commodity to the market when the price is p dollars per unit. Find the average supply as the price varies from p = $2 to p = $5. 6 43. EA villager estimates that if he picks his orange crop now, he will obtain 2000 boxes ofapples, which he can sell at $5 per box. However, he thinks his crop will increase by 150boxes of apples for each week he delays picking, but that the price will drop at a rate of$0.25 per box per week; in addition, he estimates approximately 30 boxes per week willspoil for each week he delays picking. When should he pick his crop to obtain the largesttotal cash return? How much will he receive for his crop at that time?
- Failure to comply with the CPD program under RA 10912 will automatically revoke the license of the CPA.I already posted this problem, kindly solve the last 3 sub partsThe Rocky Mountain Publishing Company isconsidering introducing a new morning newspaper inDenver. Its direct competitor charges $0.25 at retailwith $0.05 going to the retailer. For the level of newscoverage the company desires, it determines the fixedcost of editors, reporters, rent, pressroom expenses,and wire-service charges to be $300,000 per month.The variable cost of ink and paper is $0.10 per copy,but advertising revenues of $0.05 per paper will begenerated. To print the morning paper, the publisherhas to purchase a new printing press, which will cost$600,000. The press machine will be depreciatedaccording to a seven-year MACRS class. The pressmachine will be used for 10 years, at which time itssalvage value would be about $100,000. Assume 300issues per year, a 40% tax rate, and a 13% MARR.How many copies per day must be sold to break evenat a retail selling price of $0.25 per paper?
- Problem 2 Refer to problem 1.(Problem 1: Auto Mart is a mythical seller of a variety of automobileparts and accessories. Auto Mart's owner, Jonathan Trott, wishes to determine the optimum order quantity for oneof the store's popular wiper blades. The annual demandfor the wiper blades is 16,000. The annual holding costper unit is US$2.50, and the cost to place an order is US$50:) Assuming that holding costs and ordercosts remain the same, if annual demand for wiper blades doubles to 32,000, does the EOQ also Double? Explainyour answer with relevant calculations.A company that manufactures oximeters (devices that are placed on the fingers to measure the amount of oxygenation that a person is producing) has recently been stretched by high demand due to COVID-19. From that company, it is known that in the month of August 2020 a total of 10,000 oximeters were produced that qualified as conforming product, that the company was running a total of 25 days, Monday through Saturday, 9.5 hour shifts, of that time half an hour daily was for calibration and warm-up of the production machines and one hour daily was lunch for the workers. In addition, daily half-hour meetings are held to discuss the day's production. Because they are currently working under pressure due to high demand, there are no kanban waiting times. Determine the parts per hour of work that were produced during the month of August 2020.A major South African city generates electricity and sells it to its consumers. The city faces competition from independentrenewable power producers who also have licences to sell electricity to the public. The city however has cost advantagesdue to its size, but it is concerned of the political and economic ramifications of raising its tariffs, in these uncertaineconomic times. As a result, it is highly likely that tariffs will remain unchanged over the next financial year. The city’smarginal revenue is given as R3 000, and its costs are given as follows:TC = R82 000 + R1 000 + 0.01q2 MCMC= R1 000 + R0.02q4.1 Assess the efficiency arguments in favour of and against the renewable energy generation in SouthAfrica