write this problem in linear programming way where we define the objective function and the constraints . solve this problem to find exactly how many units to produce frome each type of cheese
 You are a the manager of the company which is producing two cheese spreads: regular blend and zesty blend You have to meet with the other managers in your company to decide how many units to produce from each cheese type such that you achieve the highest profit. The marketing and operations mangers are working together to decide the price the customer are willing to pay for each product and to decide the right mix of each cheese type to meet the customer satisfaction preferred tastes. The purchasing and resource the resources. manager should provide you with the resources available and the cost of The production manager will provide you with the availability of the production time and the time needed to produce each type of cheese You are responsible of the marketing and operations; your role is to conduct a marketing research to collect information about the customer needs. Later, you transfer those needs into final products. Based on the marketing research you found that you need to produce two different cheese spreads: regular blend and zesty blend. Based on the customer tastes the cheese spreads are made with two cheese blends. The mix of the cheese is as follows: The regular blend consists of 80% mild cheddar and 20% extra sharp The zesty blend consists of 60% mild cheddar and 40% extra sharp The customer is willing to pay 2 R.O and 450 baiza per container of regular cheese and 2 R.O and 825 baizas per container of zesty cheese You are responsible for purchasing the resources for your company. Based on the company forecasted requirements you have ordered 8100 pounds of mild cheddar cheese and 3000 pounds of extra sharp cheese. It costs 1 R.O and 200 baizas per pound of mild cheddar and 1 R.O and 400 baizas per pound of extra sharp. You have also ordered 16000 containers of size 12-ounces. The cost per container is 75 baizas. You are responsible of the production line. Based on previous meeting with marketing/operation manager you found that each container of regular cheese needs 2 minutes of production blending time and each container of zesty cheese needs 2 minutes and 30 seconds of production blending time. For the next period you have 540 hours of production blending time. It also costs 80 baizas per containen for labeling and 45 baiza per container for packaging. The cost of production blending time is 15 R.O per hour