A company produces three products: A, B and C. Each product requires two raw materials; steel and aluminum. The following LP model describes the company’s product mix problem x1, x2, and x3 represent the number of units of product A, B and C respectively

Max Z = 30x1 + 10x2 + 50x3

Subject to

6 x1+ 3 x2 + 5 x3 ≤ 450 (steel)

3 x1 + 4 x2+ 5 x3 ≤ 300 (alumimium), X1, x2, x3 ≥ 0

Identify the two production methods that optimize the company’s profit (hint: Use simplex method)​

Gary becker's controversial the economics of discrimination concludes that price discrimination has no effect on final profits. price discrimination benefits monopolies. labor discrimination in hiring results in more efficient allocations of production. discrimination in hiring practices has no effect on final profits. labor discrimination harms firms that practice it due to increased labor costs. price discrimination harms monopolies, which refutes over two centuries of economic theory.

Alandowner and his neighbor purchased adjoining undeveloped lots. after both built homes on their respective lots, the landowner suggested to the neighbor that a common driveway be built where the two lots joined. the neighbor agreed. the landowner and the neighbor split the cost of constructing the driveway and entered into a written agreement to equally share the costs of its upkeep and maintenance. the agreement was recorded in the county recorder's office. two years later, the neighbor built a new driveway located entirely on his lot. the common driveway, which the landowner continued to use but which the neighbor no longer used, began to deteriorate. the landowner asked the neighbor for money to maintain the common driveway, but the neighbor refused to contribute. three years later, the neighbor conveyed his lot to a friend. the friend entered into possession and used only the driveway built by the neighbor. by this time, the common driveway had deteriorated badly and contained numerous potholes. the landowner asked the friend to pay half of what it would take to repair the common driveway. the friend refused. the landowner repaired the driveway and sued the friend for 50% of the cost of repairs. will the landowner prevail?

Grey company holds an overdue note receivable of $800,000 plus recorded accrued interest of $64,000. the effective interest rate is 8%. as the result of a court-imposed settlement on december 31, year 3, grey agreed to the following restructuring arrangement: reduced the principal obligation to $600,000.forgave the $64,000 accrued interest.extended the maturity date to december 31, year 5.annual interest of $40,000 is to be paid to grey on december 31, year 4 and year 5. the present value of the interest and principal payments to be received by grey company discounted for two years at 8% is $585,734. grey does not elect the fair value option for reporting the debt modification. on december 31, year 3, grey would recognize a valuation allowance for impaired loans of