Question: solve the exercise using the Graphic Method Graphical solution - Procedure I. Draw the line from each constraint on the graph. II. Identify the region

solve the exercise using the Graphic Method Graphical solution - Procedure I. Draw the line from each constraint on the graph. II. Identify the region of feasible solutions, that is, the area of the graph that simultaneously satisfies all constraints. III. Find the optimal solution by the following method: a) Draw one or more level curves of the objective function and determine the direction in which parallel curves result in increases in the value of the objective function; b) Draw parallel curves in the direction of growth (indicated by the Z gradient) until the curve touches the region of viable solutions at a single point (or in a segment). A dog food company produces two types of dog food: Tobi and Rex. For the manufacture of rations cereals and meat are used. It is known that: Tobi feed uses 5 kg of cereals and 1 kg of meat, and Rex feed uses 4 kg of meat and 2 kg of cereals; the Tobi chow pack is $20 and the Rex chow pack is $30; a kg of meat costs $4 and a kg of cereal costs $1; 10,000 kg of meat and 30,000 kg of cereals are available per month. We want to know how much of each feed to produce in order to maximize profit.

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