Arectangular garden of area 832 square feet is to be surrounded on three sides by a brick wall costing $ 8 per foot and on one side by a fence costing $ 5 per foot. find the dimensions of the garden such that the cost of the materials is minimized. to minimize costs, the length of the side with a fence should be 5 feet and the length of the other side should be 19 feet.

Proportion of us adults who own a cell phone. in a survey of 1006 us adults in 2014, 90% said they had a cell phone.1

Variable rate cd’s = $90 treasury bills = $150 discount loans = $20 treasury notes = $100 fixed rate cds = $160 money market deposit accts. = $140 savings deposits = $90 fed funds borrowing = $40 variable rate mortgage loans $140 demand deposits = $40 primary reserves = $50 fixed rate loans = $210 fed funds lending = $50 equity capital = $120 a. develop a balance sheet from the above data. be sure to divide your balance sheet into rate-sensitive assets and liabilities as we did in class and in the examples. b. perform a standard gap analysis and a duration analysis using the above data if you have a 1.15% decrease in interest rates and an average duration of assets of 5.4 years and an average duration of liabilities of 3.8 years. c. indicate if this bank will remain solvent after the valuation changes. if so, indicate the new level of equity capital after the valuation changes. if not, indicate the amount of the shortage in equity capital.

Amanufacturer has paid an engineering firm $200,000 to design a new plant, and it will cost another $2 million to build the plant. in the meantime, however, the manufacturer has learned of a foreign company that offers to build an equivalent plant for $2,100,000. what should the manufacturer do?