Question

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?

          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?

Added by Alfonso M.

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