George johnson recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. the trust fund has two investment options: (1) a bond fund and (2) a stock fund. the projected returns over the life of the investments are 6% for the bond fund and 10% for the stock fund. whatever portion of the inheritance george finally decides to commit to the trust fund, he wants to invest at least 30% of that amount in the bond fund. in addition, he wants to select a mix that will enable him to obtain a total return of at least 7.5%. formulate a linear programming model that can be used to determine the percentage that should be allocated to each of the possible investment alternatives. if required, round your answers to three decimal places. value of optimal solution is %

Richardson hired j. c. flood company, a plumbing contractor, to correct a stoppage in the sewer line of her house. the plumbing company's 'snake' device, used to clear the line leading to the main sewer, became caught in the underground line. to release it, the company excavated a portion of the sewer line in richardson's backyard. in the process, the company discovered numerous leaks in a rusty, defective water pipe that ran parallel with the sewer line. to meet public regulations, the water pipe, of a type no longer approved for such service, had to be replaced either then or later, when the yard would have to be excavated again. the plumbing company proceeded to repair the water pipe. though richardson inspected the company's work daily and did not express any objection to the extra work involved in replacing the water pipe, she refused to pay any part of the total bill after the company completed the entire operation. j. c. flood company then sued richardson for the costs of labor and material it had furnished. (c) for what, if anything, should richardson be liable? explain."

An increase in the market price of men's haircuts, from $16 per haircut to $26 per haircut, initially causes a local barbershop to have its employees work overtime to increase the number of daily haircuts provided from 20 to 25. when the $26 market price remains unchanged for several weeks and all other things remain equal as well, the barbershop hires additional employees and provides 40 haircuts per day. what is the short-run price elasticity of supply? nothing (your answer should have two decimal places.) what is the long-run price elasticity of supply? nothing (your answer should have two decimal places.)

How many organs are supplied at a zero price? (b) how many people die in the government-regulated economy where the government-set price ceiling is p = 0? the quantity qd – qa. the quantity qe – qa. the quantity qd – qe. (c) how many people die in the market-driven economy?