g One company plans to promote their new product and there are three advertising alternatives including television, newspaper and radio. The cost for each medium with its audience coverage is given below. The local newspaper limits the number of advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should occur on the radio, and at least 10% should occur on television. The weekly advertising budget is $20000. Formulate the optimization problem (decision variables are x1, x2 and x3 for number of advertisements used on television, newspaper and radio, respectively).

technology is the application of knowledge and tools to solve problems and perform tasks more efficiently. t/f

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.)

He aldermanalderman company has prepared a sales budget of 42 comma 00042,000 finished units for a 3-month period. the company has an inventory of 10 comma 00010,000 units of finished goods on hand at december 31 and has a target finished goods inventory of 11 comma 00011,000 units at the end of the succeeding quarter. it takes 44 gallons of direct materials to make one unit of finished product. the company has inventory of 64 comma 00064,000 gallons of direct materials at december 31 and has a target ending inventory of 53 comma 00053,000 gallons at the end of the succeeding quarter. how many gallons of direct materials should aldermanalderman company purchase during the 3 months ending march 31? select the labels and enter the amounts to calculate the direct materials (gallons) to be purchased.