Description In this assignment you will formulate a linear programming model using R to solve the business problem. There are 20 marks total for this assignment and it will represent 15% of your final...

Description In this assignment you will formulate a linear programming model using R to solve the business problem. There are 20 marks total for this assignment and it will represent 15% of your final grade. Business Problem: A computer company produces laptop and desktop computers. The data analytics team in collaboration with the marketing team developed a predictive model that forecasts the expected demand for laptops to be at least 1,000, and for desktops to be at least 800 per day. (Assumption: production is in accordance with the demand) The production facility has a limited capacity of no more than 2,000 laptops and 1,700 desktops per day. The Sales Department indicates that contractual agreements of at most 2,000 computers per day must be satisfied. Each laptop computer generates $600 net profit and each desktop computer generates $300 net profit. The company wants to determine how many of each type should be made daily to maximize net profits. 1. Identify which type of analytics/modeling/solution can be used to solve this problem? (2 marks) 2. Formulate a linear programming model that represents the preceding business challenge. a. Summarize the provided figures in the form of a table. (3 marks) b. Identify the decision variables. (1 mark) c. What is our objective function in terms of these decision variables, write down its mathematical equation. (3 marks) d. What are the constraints for this problem, write down their respective mathematical equations. (3 marks) 3. Solve the problem using lpSolveAPI library in R to come up with the most optimum solution of this problem a. Write down R program to get the most optimal solution (4 marks) b. What is the optimal number of laptop and desktop computers to be made each day? (2 marks) c. What is the value of the objective function (total net profit) for the solution? (2 marks) Total Marks - 20 Instructions: Submit R code and copy-paste outputs in appendix.