Leach distributors packages and distributes industrial supplies. a standard shipment can be packaged in a class a container, a class k container, or a class t container. a single class a container yields a profit of $9; a class k container, a profit of $7; and a class t container, a profit of $15. each shipment prepared requires a certain amount of packing material and a certain amount of time. resources needed per standard shipment class of container packing material (pounds) packing time (hours) a 2 2 k 1 6 t 3 4 total resource available each week: 130 pounds 240 hours hugh leach, head of the firm, must decide the optimal number of each class of container to pack each week. he is bound by the previously mentioned resource restrictions but also decides that he must keep his 6 full-time packers employed all 240 hours (6 workers x 40 hours) each week. formulate and solve this problem using lp software. a. what is the product mix a = , k = , t = b. what is the total profit? $

Sean lives in dallas and runs a business that sells boats. in an average year, he receives $722,000 from selling boats. of this sales revenue, he must pay the manufacturer a wholesale cost of $422,000; he also pays wages and utility bills totaling $268,000. he owns his showroom; if he chooses to rent it out, he will receive $2,000 in rent per year. assume that the value of this showroom does not depreciate over the year. also, if sean does not operate this boat business, he can work as a paralegal, receive an annual salary of $21,000 with no additional monetary costs, and rent out his showroom at the $2,000 per year rate. no other costs are incurred in running this boat business. identify each of sean's costs in the following table as either an implicit cost or an explicit cost of selling boats. implicit costexplicit costthe wages and utility bills that sean pays the rental income sean could receive if he chose to rent out his showroom the salary sean could earn if he worked as a paralegal the wholesale cost for the boats that sean pays the