obtained the following estimate of the relationship between sales and the amount spent on promotion in these two media. S=2R210M28RM+18R+34M where S - total sales in thousands of dollars R = thousands of dollars spent on radio advertising M= thousands of dollars spent on direct-mail advertising. GreenLawns would like to develop a promotional strategy that will lead to maximum sales subject to the restriction provided by the media budget. (a) What is the value of sales (in dollars) if $2,000 is spent on radio advertising and $1,500 is spent on direct-mail advertising? S=$ (b) Formulate an optimization problem that can be solved to maximize sales subject to the media budget. Maxs.t.2R210M28RM+18R+34M3.5 (c) Determine the optimal amount to spend (in dollars) on radio and direct-mail advertising. (Round your answers to the nearest dollar.) radio R=$X direct-mail M=$ How much money (in dollars) will be generated in sales? Total sales S=5X