Optimal Input Mix

question 9

Essay

Optimal Input Mix. Puerto Rico-based Chocolate Products, Inc., manufactures and distributes a distinctive line of hand-packed candies. Lucy Ricardo president of Chocolate is reviewing the company's sales-force compensation plan. Currently, the company pays its three experienced sales staff members salaries based on the number of years of service. Matty Trumbull, a new sales trainee, is paid a more modest salary. Monthly sales and salary data for each employee are as follows:
Trumbull in particular has shown great promise during the past year, and Ricardo believes a substantial raise is clearly justified. At the same time, some adjustment to the compensation paid other sales personnel would also seem appropriate. Ricardo is considering changing from the current compensation plan to one based on a 3.5% commission. Ricardo sees such a plan as fairer to the parties involved and believes it would also provide strong incentives for needed market expansion.
A. Calculate Chocolate's salary expense for each employee expressed as a percentage of the sales generated by that individual.
B. Calculate monthly income for each employee under a 3.5% commission-based system.
C. Will a commission-based plan result in efficient relative salaries, efficient salary levels, or both?

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Definitions:

Analytical Thinking

The process of breaking down complex information into smaller components for better understanding or problem solving.

Logical

Pertaining to or characterized by clear, rational, and coherent reasoning or thinking.

Younger Adolescents

Individuals who are in the early stages of adolescence, typically around the ages of 10-14.

Analytic Thought

The process of breaking down complex information into smaller components for better understanding, assessment, or decision-making.