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- You are setting up a part-time business with an initial investment of $15,000. The unitcost of the product is $11.80, and the selling price is $19.30.a) Find equations for the total cost C and total revenue R for x units.b) Find the break-even point by finding the point of intersection of the cost and revenueequations.c) How many units would yield a profit of $1000?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!The 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?
- Given that the marginal cost of a ‘backstop’ (e.g. solar energy) is MCb per unit of an exhaustible resource, prove that the cost of the ‘backstop’ sets an upper limit on oil price and also determines the initial price of oil. (Hint:Utilize the expression pt = MC + (p0 − MC)(1 + r)t and consider T as theswitch date.)The difference between TC and TVC falls with increase in output True / FalsePlease Calculate the break even point, Cash Flow, NPV, sensitivity of NPV to quantity sold, and sensitivity of OCF to changes in the variable cost figure
- Problem 6Cannes Croissants (not a real company) wishes to determine the optimum production quantity for its topselling product, almond croissants. The annual demandfor almond croissants is 12,000 units. The setup costs fora production run of the croissants is US$15. The holdingcost per unit per year is US$0.50. Production is mostefficient when 80 croissants are produced per day. Thecompany operates 300 days during a year.a What is the economic production quantity (EPQ)?b How many production runs will there by per year?c What is the maximum inventory level?d What is the total annual cost (in US dollars)?e What is the length of a production run in days?Analyse the various issues which influence industry standards used in project costmanagement.Payless Shoe Source sees a 35 per cent increase in sales of its athletic shoesduring a 1 week, half-price sale.
- 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?