Problem 19-14 (Static) A chocolate maker has contracted to operate a small candy counter in a fashionable store. To start with the selection of offerings will be intentionally limited. The counter will offer a regular mix of candy made up of equal parts of cashews, raisins, caramels, and chocolates, and deluxe mix that is one-half cashews and one half chocolates, which will be sold in one-pound boxes. In addition, the candy counter will offer individual one-pound boxes of cashews, raisins, caramels, and chocolates A major attraction of the candy counter is that all candies are made fresh at the counter. However, storage space for supplies and ingredients is limited. Bins are available that can hold the amounts shown in the table: Ingredient Cashews Capacity Counds per day 120 200 Caramels Checolates Click here for the Excel Data File In order to present a good image and to encourage purchases, the counter will make at least 20 boxes of each type of product each dey. Any leftover boxes at the end of the dey will be removed and given to nearby nursing home for goodwill The profit per box for the various items has been determined as follows: Profit per Regular 3. Deluxe Cashews Raisins Carels Chocolates a. Formulate the LP model(Round your answers to 2 decimal places) cash mais caramels chocolates 4. 0.50 b. Golve for the optimal values of the decision variables and the medium proft Problem 19-14 (Static) A chocolate maker has contracted to operate a small candy counter in a fashionable store. To start with the selection of offerings will be intentionally limited. The counter will offer a regular mix of candy made up of equal parts of cashews, raisins, caramels, and chocolates, and a deluxe mix that is one-half cashews and one-half chocolates, which will be sold in one-pound boxes. In addition, the candy counter will offer individual one-pound boxes of cashews, raisins, caramels, and chocolates A major attraction of the candy counter is that all candies are made fresh at the counter. However, storage space for supplies and ingredients is limited. Bins are available that can hold the amounts shown in the table. Capacity Ingredient (pounds per day) Cashews Raisins Caramels Chocolates 120 200 100 160 Click here for the Excel Data File In order to present a good image and to encourage purchases, the counter will make at least 20 boxes of each type of product each day. Any leftover boxes at the end of the day will be removed and given to a nearby nursing home for goodwill . The profit per box for the various items has been determined as follows: Item Profit per box Regular $.80 .90 .70 Deluxe Cashews Raisins Caramels Chocolates .50 a. Formulate the LP model (Round your answers to 2 decimal places.) Xboxes of regular mix 2 deluxe 3 cashews raisins caramels *6 chocolates The LP model 0.80 X1 0.90 X X3 + + 0.50 Xs+ X6 mnoruer o present a youu unaye anu w encourage purchases, le counter wil de al ledst zu Duxes i den type or proc day. Any leftover boxes at the end of the day will be removed and given to a nearby nursing home for goodwill. The profit per box for the various items has been determined as follows: Item Profit per box Regular Deluxe Cashews Raisins Caramels Chocolates $.80 .90 .70 .60 .50 .75 a. Formulate the LP model. (Round your answers to 2 decimal places.) xy boxes of regular mix x"mix deluxe x3 "mix cashews X4"mix raisins x5 mix" caramels X6 "mix chocolates The LP model 0.80 X4+ 0.90 X2 + 1 X3 X4 + 0.50 Xs + Xs b. Solve for the optimal values of the decision variables and the maximum profit. Optimal Values Decision Variables x X2 X3 X5 X6