The following problem refers to a closed leontief model. suppose the technology matrix for a closed model of a simple economy is given by the following. p m h a = 0.5 0.1 0.9 0.1 0.3 0 0.4 0.6 0.1 products machinery households find the gross productions for the industries. (let h represent the number of household units produced, and give your answers in terms of h.)

a. products units.
b. machinery units.
c. households units.

Afirm that makes electronic circuits has been ordering a certain raw material 250 ounces at a time. the firm estimates that carrying cost is i = 30% per year, and that ordering cost is about $20 per order. the current price of the ingredient is $200 per ounce. the assumptions of the basic eoq model are thought to apply. for what value of annual demand is their action optimal?

Parks corporation is considering an investment proposal in which a working capital investment of $10,000 would be required. the investment would provide cash inflows of $2,000 per year for six years. the working capital would be released for use elsewhere when the project is completed. if the company's discount rate is 10%, the investment's net present value is closest to (ignore income taxes) ?

M. cotteleer electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. one of the components has an annual demand of 235 units, and this is constant throughout the year. carrying cost is estimated to be $1.25 per unit per year, and the ordering (setup) cost is $21 per order. a) to minimize cost, how many units should be ordered each time an order is placed? b) how many orders per year are needed with the optimal policy? c) what is the average inventory if costs are minimized? d) suppose that the ordering cost is not $21, and cotteleer has been ordering 125 units each time an order is placed. for this order policy (of q = 125) to be optimal, determine what the ordering cost would have to be.