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

question 6

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.Suppose the producer can double the promotional budget.Formulate and solve a nonlinear optimization model to help this soda producer identify the best promotional strategies for its two products in that case.Does the change in profit justify the budget increase
Does the proportional amount spent promoting the two products remain the same

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Definitions:

Myelinated Nerve Fibers

Nerve fibers surrounded by a protective fatty layer called myelin, which increases the speed of signal transmission.

All-or-none Principle

A principle stating that a neuron either fires at full amplitude or not at all, depending on whether the stimulus reaches the threshold level.

CNS

The central nervous system, consisting of the brain and spinal cord, responsible for processing and sending messages to and from the body.

Presbycusis

Age-related hearing loss, typically occurring in both ears, progressing gradually as a person ages.