Precision Machinists makes two grades of gears for industrial machinery: standard and heavy duty. The process requires two steps. Step-1 takes 8 minutes for the standard gear and 10 minutes for the heavy duty. Step-2 takes 3 minutes for the standard gear and 10 minutes for the heavy duty. The company’s labor contract requires that it uses at most 200 labor-hours per week on the Step-1 equipment and at most 140 labor-hours per week on the Step-2 equipment. The profit contributions are $15 for each standard gear and $22 for each heavy duty. How many of each gear should be made each week to maximize profits? Find the optimal solution using the graphical solution technique.

Alandowner entered into a written agreement with a real estate broker whereby the broker would receive a commission of 10% of the sale price if he procured a "ready, willing, and able buyer" for the landowner's property and if the sale actually proceeded through closing. the broker found a buyer who agreed in writing to buy the property from the landowner for $100,000, the landowner's asking price. the buyer put up $6,000 as a down payment. the agreement between the landowner and the buyer contained a liquidated damages clause providing that, if the buyer defaulted by failing to tender the balance due of $94,000 at the closing date, damages would be 10% of the purchase price. the landowner included that clause because she was counting on using the proceeds of the sale for a business venture that would likely net her at least $10,000. the buyer became seriously ill and defaulted. when he recovered, he demanded that the landowner return his $6,000, and the landowner refused. the broker also demanded the $6,000 from the landowner and was refused. the broker and the buyer filed separate suits against the landowner, with the buyer pleading impossibility of performance. the two cases are consolidated into a single case. how should the court rule as to the disposition of the $6,000?

Samantha is interested in setting up her own accounting firm and wants to specialize in the area of accounting that has experienced the most significant growth in recent years. which area of accounting should she choose as her specialty? samantha should choose as her specialty.

Popeye produces 20 cans of spinach in 8 hours. wimpy produces 15 hamburgers in 10 hours. if each hamburger trades for 1.5 cans of spinach, then: a.wimpy’s production and productivity are greater than popeye’s. b.popeye’s production is greater than wimpy’s, but his productivity is less. c.wimpy’s production is greater than popeye’s, but his productivity is less. d.popeye’s production and productivity are greater than wimpy’s.