Question 1 50 points Save Answer A small firm can manufacture up to four computers weekly, and has agreed to deliver in each of the next 4 weeks three, two, four, and two computers, respectively. Production costs are a function of the number of computers manufactured, and are given in thousand pesos) as follows: Units Produced, x 10 1 2 3 14 15 12 20 28 35 Cost (in thousands of Pesos), f(x) Computers can be delivered to customers at the end of the same week in which they are manufactured, or they can be stored for future delivery at a cost of PhP4,000 per week. Setup cost is PhP 1000 per units produced. Because of limited warehouse facilities, the company can store no more than three computers at a time. Current inventory is two, and the firm desires to build an inventory to four at the end of week 4. You cannot submit an xcel file as your solution. Show the solution manually. a. Define stage, states, and alternatives. (5 points) b. Solve the problem using dynamic programming. (30 points) Develop the associated recursive equation. (10 points) c. How many computers should the firm manufacture in each of the next 4 weeks to meet all demands at a minimum total cost? (3 points) What is the total cost? (2 points) Question 1 50 points Save Answer A small firm can manufacture up to four computers weekly, and has agreed to deliver in each of the next 4 weeks three, two, four, and two computers, respectively. Production costs are a function of the number of computers manufactured, and are given in thousand pesos) as follows: Units Produced, x 10 1 2 3 14 15 12 20 28 35 Cost (in thousands of Pesos), f(x) Computers can be delivered to customers at the end of the same week in which they are manufactured, or they can be stored for future delivery at a cost of PhP4,000 per week. Setup cost is PhP 1000 per units produced. Because of limited warehouse facilities, the company can store no more than three computers at a time. Current inventory is two, and the firm desires to build an inventory to four at the end of week 4. You cannot submit an xcel file as your solution. Show the solution manually. a. Define stage, states, and alternatives. (5 points) b. Solve the problem using dynamic programming. (30 points) Develop the associated recursive equation. (10 points) c. How many computers should the firm manufacture in each of the next 4 weeks to meet all demands at a minimum total cost? (3 points) What is the total cost? (2 points)