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MATHEMATICAL MODELING
The company manufactures two types of product A and B made of plastic. The company received 3,000 lbs recycled plastic of product A and 10,800 lbs recycled plastic of product B. The company also receives industrial plastic of 24,000 lbs per month. Costing $ 0.80, $ 0.60, $ 0.50 per lb respectively. There is a demand of 6400 pieces of product A, 128,000 pieces of product B for a month. Product A requires 1.5 lbs of plastic, and costs $ 30 to produce and can be sold for $ 84. Product B requires 0.025 lbs of plastic and cost $ 0.54 to produce and can sell for $ 1.20. The company can only use 33% recycled plastic for product A and 65% for the product B. Determine the optimal combination of products to get the maximum profit and shadow price
The staff of Jefferson Medical Services has estimated the following net cash flows for a food services operation that it may open in its outpatient clinic: What are the worst case and best case IRRs? The worst case and best NPVs?
The City of Ames issued a new series of bonds on Jan 1, 2009. The bonds were sold at par ($1,000), have a 3.5% annual coupon rate and mature in 10 years, on Jan 1, 2019. Coupon interest payments are made semi-annually (on June 30 and December 31). Wh..
Assume that you manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 34%. The T-bill rate is 5.5%. Your risky portfolio includes the following investments in the given proportions: Stock A 32 % Stock B 36 % Stoc..
There are 2,000 bonds outstanding at a market price of $1090 per bond. The bonds mature in 17 years and have a coupon payment of $70 on the $1,000 face value of the bond. Find the 3 weights to be used to determine the cost of capital (Debt, Preferre..
Pete Morton is planning to go to graduate school in a program of study that will take 2 years. Pete wants to have $19000available each year for various school and living expenses. If he earns 7 percent on his money, how much must be deposit at the st..
The injection molding department of a company uses an average of 30 gallons of special lubricant a day. The supply of the lubricant is replenished when the amount on hand is 170 gallons. It takes four days for an order to be delivered. Safety stock i..
Kendra is an attorney and owns 60 percent of a low partnership. Kendra sells land to the partnership for 50,000 in 2014. She brought the land for $100,000 IN 2007 when real estate prices were at their peak. How much gain or loss must Kemdra recognize..
Heginbotham Corp. issued 10-year bonds two years ago at a coupon rate of 8.7 percent. The bonds make semi annual payments. If these bonds currently sell for 108 percent of par value, what is the YTM?
If you are offered $340,000 in 15 years and you can earn 13 percent on your money, what is the present value of $340,000? Lance Murdock purchased a wooden statue of a Conquistador for $7,500 to put in his home office 6 years ago. Lance has recently m..
Strickler Technology is considering changes in its working capital policies to improve its cash flow cycle. Strickler's sales last year were $150,000 (all on credit), and it earned a net profit of 5%. Its inventory turnover was 7.606375 times during ..
You are lending your friend $25,000. She agrees to repay the loan in equal quarterly payments over a three-year period at an interest rate of 8% compounded quarterly. How much interest will you earn over the life of the loan?
Leisure Lodge Corporation is expected to pay the following dividends over the next four years: $24, $15, $5.6 and $2.8. Afterwards, the company pledges to maintain a constant 5 percent growth rate in dividends forever. If the required return on the s..
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