Can you solve it by taking the parenthesis into account? For example (which means if you use 1 unit of K1 in A, you must use 1 unit of K2, 0.5 unit of K3 and 0.25 unit of K4 in product A).

Your coffee franchise company Black produces two types of instant coffee granule, A and B, by mixing four different types of blended Arabica coffee beans, K1,K2,K3, and K4. Your objective is to decide on the mixture of ingredients in your final products and decide on the production amounts for each product to maximize the profits of Black according to given information below: - Coffee A uses beans K1,K2,K3, and K4 in the ratio 1:1:2:4 (which means if you use lunit of KI in A, you must use 1 unit of K2,0.5 unit of K3 and 0.25 unit of K4 in product A ). - Coffee B uses beans K1, K2, K3, and K4 in the ratio 2:2:1:3. - The supply limits for K1,K2,K3, and K4 beans are 1000,1200 , 900 , and 1500kg /day, respectively. - The costs per kg for beans K1,K2,K3, and K4 are $120,$90,$100, and $150, respectively. - Final mixture of instant coffee granules A and B sell for $200 and $250 per kg. - The minimum demand for A and B is 200 and 400kg/ day. a.Formulate a linear programming model to maximize the total profit for this production by determining the optimal production mix for instant coffee granules A and B (begin with a clear definition of decision variables and then write objective function and constraints). b. For the model you've formulated above, add additional constraint(s) to satisfy the additional requirements given below: - Fat amount in per gram of beans K1,K2,K3, and K4 are 0.01,0.02,0.03, and 0.04 milligrams respectively. Food Health and Safety Department regulations state that no more than 30mg. fat may present in 1kg of coffee. - Black Coffee franchise decided that total instant coffee produced should be proportioned accordingly, so that total amount of B produced must be at least four times higher than the total amount A produced