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This is a question about Computational Optimization (CO). Plz do not answer this if you have not learned this before. Also, These Questions do not

This is a question about Computational Optimization (CO).

Plz do not answer this if you have not learned this before.

Also, These Questions do not need to be calculation solved, which means we only need constraint.

image text in transcribedimage text in transcribed

(a) Rohkca is a local furniture store. On the second day of every month, they have a sale on special limited edition sofas. After extensive market rescarch, they know how many sofas they can sell during their sale for the next 3 months Month12:3 Demand200 300 400 e prico The company buys a shipment of sofas at the beginning of cach month. Th for the sofas fluctuates (due to a leather shortage) but they believe the price for sofas from their supplicr at the beginning of cach month will be: Month 123 Price per sofa500 600 550 The company has a small warchouse that can store 250 sofas. The company can purchase sofas and store any that are not sold during the sale in the warchouse for free. (Eg. They can buy 350 sofas at the start of month 1, sell 200 to mecet de- mand, then store the leftover 150 sofas in the warchouse to sell in future months The company needs to know how many sofas to buy cach month to meet demand for the next 3 months. Write a mathematical program that will minimize the cost for the company for the next 3 months You solution should include a clcar explaination about your variables, your ob- jective function, your constraints, and indicate whether the program is lincar integer, or non-lincar. Feel free to include non-decision variables to make your solution casicr to undcrstand. (a) Rohkca is a local furniture store. On the second day of every month, they have a sale on special limited edition sofas. After extensive market rescarch, they know how many sofas they can sell during their sale for the next 3 months Month12:3 Demand200 300 400 e prico The company buys a shipment of sofas at the beginning of cach month. Th for the sofas fluctuates (due to a leather shortage) but they believe the price for sofas from their supplicr at the beginning of cach month will be: Month 123 Price per sofa500 600 550 The company has a small warchouse that can store 250 sofas. The company can purchase sofas and store any that are not sold during the sale in the warchouse for free. (Eg. They can buy 350 sofas at the start of month 1, sell 200 to mecet de- mand, then store the leftover 150 sofas in the warchouse to sell in future months The company needs to know how many sofas to buy cach month to meet demand for the next 3 months. Write a mathematical program that will minimize the cost for the company for the next 3 months You solution should include a clcar explaination about your variables, your ob- jective function, your constraints, and indicate whether the program is lincar integer, or non-lincar. Feel free to include non-decision variables to make your solution casicr to undcrstand

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