A company sells three products, A$,$ B$,$ and C$.$ The company wishes to maximize its profit. The selling price of products A$,$ B and C is RM$250,$ RM$204$ and RM$192$ respectively. The company does not know how many products A$,$ B$,$ and C to sell with the requirements given by the person in charge of the operating department. All products require five hours of process to be produced. The machine could go up to $215$ hours. The different product needs different amounts of hours spent by the labor to produce the product. Products A$,$ B$,$ and C need $5,3,$ and $4$ hours of labor respectively. The company has only $140$ hours of labor available currently. The cost for machine per hour is RM$15.$

The cost for labor is RM$20$

Assuming all products can be sold, how many products A$,$ B$,$ and C should the company produce per day so that its profit is as large as possible? The number of the products should be an integer. Answer the following questions and DISPLAY all your answers;$3.$ Solve the problem above by using array and index sets. Include together

$-$SAS Data sets. Create it by using SAS DATA steps.

$-$ LET macro statement to create a parameter for budget limit$.$ The budget of the company is RM$10,000.$

$-$ Array and Index Sets to solve the problem. Include all declarations for:

$$ Sets and parameters

$$ Variables

$$ Implicit variables

$$ Constraints

$$ Objective function

$-$ READ data statement, to read data from SAS data sets.

$-$ Print parameter arrays for all parameters. Include its currency in Ringgit Malaysia.

$-$ EXPAND statement, to list all formulations