04 May IDENTIFY EACH CONSTRAINT AS A MINIMUM OR A MAXIMUM CONSTRAINT.
An ample supply is available of most of the pet food ingredients; however, three additives are in limited supply. The tight supply of nutrient C (one of several nutrient additives), a flavor additive, and a color additive all limit production of both Brand X and Brand Y.
The formula for a case of Brand X calls for 4 units of nutrient C, 12 units of flavor additive, and 6 units of color additive. The Brand Y formula per case requires 4 units of nutrient C, 6 units of flavor additive, and 15 units of color additive. The supply of the three ingredients for each production period is limited to 30 units of nutrient C, 72 units of flavor additive, and 90 units of color additive.
Task:
A. Determine the equations for each of the three constraints that are plotted on the attached ?Graph 1,? showing all work necessary to arrive at the equations.
1. Identify each constraint as a minimum or a maximum constraint.
B. Determine the total contribution to profit if the company produces a combination of cases of Brand X and Brand Y that lies on the purple objective function (profit line) as it is plotted on the attached ?Graph 1.?
C. Determine how many cases each of Brand X and of Brand Y you recommend should be produced during each production period for optimum production if Company A wants to generate the greatest amount of profit, showing all of your work.
D. Determine the total contribution to profit that would be generated by the production level you recommend in part C, showing all of your work.
E. If you choose to use outside sources, include all in-text citations and references in APA format.
Note: Please save word-processing documents as *.rtf (Rich Text Format) files.
Note: For definitions of terms commonly used in the rubric, see the attached Rubric Terms.
Note: When using outside sources to support ideas and elements in a paper or project, the submission MUST include APA formatted in-text citations with a corresponding reference list for any direct quotes or paraphrasing. It is not necessary to list sources that were consulted if they have not been quoted or paraphrased in the text of the paper or project.
Note: No more than a combined total of 30% of a submission can be directly quoted or closely paraphrased from outside sources, even if cited correctly. For tips on using APA style, please refer to the APA Handou
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