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:

Set Limits

The act of establishing boundaries or rules in a relationship, interaction, or environment to maintain order and protect well-being.

Contracting

A process in professional services, particularly in therapy or social work, that involves establishing agreements on the goals, roles, and responsibilities between a service provider and client.

Declarative Statements

Sentences that make a statement or express an opinion or fact, typically in a straightforward and unequivocal manner.

Directives

commands or instructions given with authority, often used in legal, professional, or organizational contexts.