The queen city nursery manufactures bags of potting soil from compost and topsoil. each cubic foot of compost costs 12 cents (enter as .12) and contains 4 pounds of sand, 3 pounds of clay, and 5 pounds of humus. each cubic foot of topsoil costs 20 cents (enter as .20) and contains 3 pounds of sand, 6 pounds of clay, and 12 pounds of humus. each bag of potting soil must contain at least 12 pounds of sand, at least 12 pounds of clay, and at least 10 pounds of humus. formulate the problem as a linear program and find the best combination of compost and topsoil that meets the stated conditions at the lowest cost per bag.

Amanda rice has just arranged to purchase a $640,000 vacation home in the bahamas with a 20 percent down payment. the mortgage has a 7 percent apr compounded monthly and calls for equal monthly payments over the next 30 years. her first payment will be due one month from now. however, the mortgage has an eight-year balloon payment, meaning that the balance of the loan must be paid off at the end of year 8. there were no other transaction costs or finance charges. how much will amanda’s balloon payment be in eight years

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."

The following are budgeted data: january february march sales in units 16,200 22,400 19,200 production in units 19,200 20,200 18,700 one pound of material is required for each finished unit. the inventory of materials at the end of each month should equal 20% of the following month's production needs. purchases of raw materials for february would be budgeted to be: