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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
What impact would this change have on the equity value of the business? What if the growth rate were only 2 percent and Is the financial risk of the business different under the two acquisition alternatives?
Your retirement fund consists of a $7,500 investment in each of 20 different common stocks. The portfolio's beta is 2.15. Now, suppose you sell one of the stocks with a beta of 1.0 for $7,500 and use the proceeds to buy another stock whose beta is 1...
The common stock of bouncy bob is selling for $33.84. the stock recently paid dividends of $3 per share and has a projected constant growth rate of 8.5%. If you purchase the stock at the market price, what is your expected rate of return?
If you were comparing the costs of loans from different lenders, could you use their APRs to determine the loan with the lowest effective interest rate? What information do YOU think lenders should be required to disclose when making loans? Explai..
Home Depot, Inc. had 1.70 billion shares of common stock outstanding in 2008, whereas Lowes Companies, Inc. had 1.46 billion shares outstanding. Assuming Home Depot's 2008 interest expense is $696 million, Lowes' interest expense is $239 million, and..
What is the probability index of the cash flow in 6.15?
Cow Chips, Inc., a large fertilizer distributor based in California, is planning to use a lockbox system to speed up collections from its customers located on the East Coast. A Philadelphia-area bank will provide this service for an annual fee of $15..
Blue crab, INC, plans to issue new bonds, but is uncertain how the market would set the yield to maturity. The bonds would be 30- year to maturity, carry a 11.14 % annual coupon, and have a $1,000 par value. Blue crab, Inc. has determined that these ..
LKM, Inc, wants to issue new 20 year bonds for some much needed expansion projects. The company currently has bonds on the market that sell for $972.78, making semi-annual payments, with a 6.5% coupon rate. What is the yield to maturity of the bond?
Secondary Loan Company wants to purchase your mortgage from the local bank. The original loan amount was $200,000 for 30-years at an interest rate of 4%. The loan was made two (2) years ago. If Secondary Loan Company requires a 6% return, how much wo..
you are planning to purchase 100 shares of preferred stock and must choose between stock a and stock b. stock a pays an
Hart Enterprises is expected to pay a $0.50 per share dividend one quarter from today. The quarterly dividend is expected to grow at a constant rate of 1% per quarter. Suppose you require a effective return of 12% a year. How much are you willing to ..
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