BP Cola Must Decide How Much Money to Allocate for New

question 26

Essay

BP Cola must decide how much money to allocate for new soda and traditional soda advertising over the coming year.The advertising budget is $10,000,000.Because BP wants to push its new sodas,at least one-half of the advertising budget is to be devoted to new soda advertising.However,at least $2,000,000 is to be spent on its traditional sodas.BP estimates that each dollar spent on traditional sodas will translate into 100 cans sold,whereas,because of the harder sell needed for new products,each dollar spent on new sodas will translate into 50 cans sold.​
To attract new customers,BP has lowered its profit margin on new sodas to 2 cents per can as compared to 4 cents per can for traditional sodas.How should BP allocate its advertising budget if it wants to maximize its profits while selling at least 750 million cans?

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Definitions:

Electron Transport Chain

A series of complexes that transfer electrons from electron donors to electron acceptors via redox reactions, coupled with the transfer of protons across a membrane.

Chemical Equation

A chemical equation is a symbolic representation of a chemical reaction, showing the reactants and products involved and their stoichiometric relationships.

Photosynthesis

The biochemical process in which green plants and some bacteria convert light energy and carbon dioxide into glucose and oxygen.

Cellular Respiration

The metabolic process by which cells produce energy (in the form of ATP) from glucose and oxygen, releasing carbon dioxide and water as byproducts.