An industrial recycling center uses two scrap aluminum metals, A and B, to produce a special alloy. Scrap A contains 6% aluminum, 3% silicon, and 4% carbon. Scrap B has 3% aluminum, 6% silicon and 3% carbon. The costs per ton for scraps A and B are $100 and $80, respectively. The specifications of the special alloy are as follows:
A. The aluminum content must be at least 3% and at most 6%.
B. The silicon content must lie between 3% and 5%.
C. The carbon content must be between 3% and 7%.
D. Formulate a linear program that can be used to determine the amounts of scrap A and B that should be used to minimize the cost of creating 1000 tons of the special alloy.

Lindon company is the exclusive distributor for an automotive product that sells for $30.00 per unit and has a cm ratio of 30%. the company’s fixed expenses are $162,000 per year. the company plans to sell 20,200 units this year. required: 1. what are the variable expenses per unit? (round your "per unit" answer to 2 decimal places.) 2. what is the break-even point in unit sales and in dollar sales? 3. what amount of unit sales and dollar sales is required to attain a target profit of $72,000 per year? 4. assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $3.00 per unit. what is the company’s new break-even point in unit sales and in dollar sales? what dollar sales is required to attain a target profit of $72,000?

(a) what was the opportunity cost of non-gm food for many buyers before 2008? (b) why did they prefer the alternative? (c) what was the opportunity cost in 2008? (d) why did it change?

Your father offers you a choice of $120,000 in 11 years or $48,500 today. use appendix b as an approximate answer, but calculate your final answer using the formula and financial calculator methods. a-1. if money is discounted at 11 percent, what is the present value of the $120,000?