The M F Department projects that each $160 invested in advertising Widgets in a particular period creates additional demand for one Widget in the next period The corresponding values for Gadgets and Flugels are $120 and $180, respectively However, the total advertising budget is limited to $70,000 for the entire planning horizon NOTE I am only requesting help with one part of this problem For reference, the overall problem is to determine the marketing, production, distribution, inventory strategy that maximizes profit TOTAL production requirements (Plant A Plant B) Period 1 Widgets 70, Gadgets 200, Flugels 140 Period 2 Widgets 125, Gadgets 300, Flugels 175 Period 3 Widgets 185, Gadgets 295, Flugels 205 Period 4 Widgets 190, Gadgets 245, Flugels 235 Period 5 Widgets 200, Gadgets 240, Flugels 230 Question (the part of the problem I am stuck on) How would ADDITIONAL DEMAND (and subsequent production) be incorporated into the LP model Only in the objective function Or, both objective function and constraints If so, please provide methodology A constraint for the

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The M&F Department projects that each $160 invested in advertising Widgets in a particular period creates additional demand for one Widget in the next period.

The M&F Department projects that each $160 invested in advertising Widgets in a particular period creates additional demand for one Widget in the next period. The corresponding values for Gadgets and Flugels are $120 and $180, respectively. However, the total advertising budget is limited to $70,000 for the entire planning horizon.

NOTE: I am only requesting help with one part of this problem. For reference, the overall problem is to determine the marketing, production, distribution, inventory strategy that maximizes profit.

TOTAL production requirements (Plant A + Plant B):

Period 1: Widgets 70, Gadgets 200, Flugels 140

Period 2: Widgets 125, Gadgets 300, Flugels 175

Period 3: Widgets 185, Gadgets 295, Flugels 205

Period 4: Widgets 190, Gadgets 245, Flugels 235

Period 5: Widgets 200, Gadgets 240, Flugels 230

Question (the part of the problem I am stuck on): How would ADDITIONAL DEMAND (and subsequent production) be incorporated into the LP model? Only in the objective function? Or, both objective function and constraints? If so, please provide methodology.

A constraint for the <= $70K in advertising dollars has been included.