Solve the following transportation problems in which warehouse 1 has 30 units, warehouse 2 has 30 units, and warehouse 3 has 30 units and in which store 1 needs 40 units and store 3 needs 50 units. The tables below give the transportation costs. A dummy store will be needed. a. Store 1 2 3
Warehouse 1 $7 $2 $5
2 $3 $5 $4
3 $4 $6 $3

b. Store 1 2 3
Warehosue 1 $8 $3 $2
2 $3 $5 $7
3 $6 $4 $5

The management of a private investment club has a fund of $250,000 earmarked for investment in stocks. to arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high risk (x), medium risk (y), and low risk (z). management estimates that high risk stocks will have a rate of return of 15%/year; medium risk stocks, 10%/year; and low risk stocks, 6%/year. the amount of money invested in low risk stocks is to be twice the sum of the amount invested in stocks of the other two categories. if the investment goal is to have a rate of return of 9% on the total investment, determine how much the club should invest in each type of stock. (assume that all the money available for investment is invested.)

Explain whether each of the following events increases or decreases the money supply. a. the fed buys bonds in open-market operations. b. the fed reduces the reserve requirement. c. the fed increases the interest rate it pays on reserves. d. citibank repays a loan it had previously taken from the fed. e. after a rash of pickpocketing, people decide to hold less currency. f. fearful of bank runs, bankers decide to hold more excess reserves. g. the fomc increases its target for the federal funds rate.

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?