Exhibit 7-2 A Soda Producer Makes and Sells Two Products, Classic Cola

question 29

Essay

Exhibit 7-2
A soda producer makes and sells two products, Classic Cola and Diet Cola. During the planning period, if the producer spends x1 dollars on promotion of Classic Cola, it can sell 100x10.5 cases of Classic Cola, and if it spends x2 dollars on promotion of Diet Cola, it can sell 10x20.75 cases of Diet Cola. Each case of Classic Cola sells for $12.00 and costs $0.95 to produce and ship to customers, while each case of Diet Cola sells for $12.50 and costs $1.00 to produce and ship to customers. A total of $7,500 is available for promotion during the planning period.
-Refer to Exhibit 7-2.Formulate and solve a nonlinear optimization model to help this soda producer identify the best promotional strategies for its two products.

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Definitions:

Marginal Cost Curve

A graphical representation showing how the cost of producing one additional unit of a good varies as production increases.

Industry Supply

The total amount of a product or service that all producers in a market are willing and able to sell at a given price.

Price Floor

A government-imposed limit on how low a price can be charged, usually above the equilibrium price, which can prevent the market from clearing.

Price Ceiling

A government-imposed limit on how high a price can be charged for a product, service, or resource, usually intended to protect consumers from prices deemed excessively high.