Complete all the exam no AI$,$ all the procedures use everything apply with my class quantitative.

Delicias Gourmet produces two types of frozen foods: vegetable lasagnas and artisanal pizzas. Each product contributes the following profit margins and requires a specific amount of labor hours and storage space:

the table in the image..

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The company has $1,000$ labor hours and $600$ m$^3$ of storage space available per month.

Questions:

Formulate the linear programming model:

a$)$ Define the decision variables.

b$)$ Write the objective function.

c$)$ Formulate the labor and storage constraints.

Solve the model graphically or using an analytical method $($Simplex or software$).$

Identify the optimal combination of lasagnas and pizzas that maximizes profit.

What would happen if the company increased the availability of labor hours to $1,200?$ How would this affect the optimal solution?

Prepare a brief report for the company$$s management explaining how integrating regression models and linear programming can improve strategic decision$-$making.

Design a brief report for the company's management explaining how the integration of regression and linear programming models can enhance strategic decision$-$making.