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promotion in these two media. S=2R210M28RM+18R+34M where S=totalsalesinthousandsofdollarsR=thousandsofdollarsspentonradioadvertisingM=thousandsofdollarsspentondirect-mailadvertising GreenLawns would like to develop a promotional strategy that will lead to maximum sales subject to the

image text in transcribed promotion in these two media. S=2R210M28RM+18R+34M where S=totalsalesinthousandsofdollarsR=thousandsofdollarsspentonradioadvertisingM=thousandsofdollarsspentondirect-mailadvertising 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 $1,500 is spent on radio advertising and $500 is spent on direct-mail advertising? S=$ (b) Formulate an optimization problem that can be solved to maximize sales subject to the media budget of spending no more than $2,000 on total advertising. Max s.t. 2.00 R,M0 (c) Determine the optimal amount to spend (in dollars) on radio and direct-mail advertising. (Round your answers to the nearest dollar.) radi R=$ direct-mail M=$ How much money (in dollars) will be generated in sales? (Round your answer to the nearest dollar.) s=$

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