Blacktop Refining extracts minerals from ore mined at two different sites in Montana. Each ton of ore type 1 contains 20% copper, 20% zinc, and 15% magnesium. Each ton of ore type 2 contains 30% copper, 25% zinc, and 10% magnesium. Ore type 1 costs $90 per ton while ore type 2 costs $120 per ton. Blacktop would like to buy enough ore to extract at least 8 tons of copper, 6 tons of zinc, and 5 tons of magnesium in the least costly manner. a. Formulate an LP model for this problem.
b. Sketch the feasible region for this problem and find the optimal solution.

Allie and sarah decided that they want to purchase renters insurance for the apartment they share. they made a list of all of the items to be covered by the insurance policy, along with their estimated values. if the items to be covered total more than $3000, the insurance company charges an annual premium of 23% of the total value of the items. if the items to be covered total $3000 or less, the insurance company charges an annual premium of 20% of the total value of the items.

Ajewelry direct sales company pays its consultants based on recruiting new members. question 1 options: the company is running a pyramid scheme, which is illegal. the company is running a pyramid scheme, which is legal. the company has implemented a legal and ethical plan for growth. the company uses this method of compensation to reduce the fee for the product sample kit.

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)