I need the answers to a quantitative analysis question you have already answered for another student.Company A produces and sells a popular pet food product packaged under two brand names with formulas that contain different proportions of the same ingredients. Company A made this decision so that their national branded product would be differentiated from the private label product. Some product is sold under the company s nationally advertised brand (Brand X) while the re-proportioned formula is packaged under a private label (Brand Y) and is sold to chain stores.Because of volume discounts and other stipulations in the sales agreements the contribution to profit is $40 per case for product sold to distributors under the company s Brand X national brand compared to $30 per case for the Brand Y private label product.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 system for the three constraints as shown on the attached Graph 1 showing all work necessary to arrive at the equations.1. Identify each constraint by labeling them as a minimum or a maximum constraint.B. Determine the total profit to be made if the company produces a combination of cases of Brand X and Brand Y that lies on the purple dashed objective function (profit line) as shown on the attached Graph 1.C. Determine the optimum production levels for Brand X and Brand Y (which yields the greatest amount of profit). Your response should include the number of cases of Brand X and Brand Y to be produced during each production period 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.

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