Ice-Dreams is a specialty ice cream company making hard-to-find flavors. Its newest two products are Ice-spargus...

 

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Ice-Dreams is a specialty ice cream company making hard-to-find flavors. Its newest two products are Ice-spargus (asparagus flavored) and Ice-amole (guacamole flavored). The main drivers of production are flavoring and milk. Each product requires different amounts of each ingredient (flavoring and milk), each of which has their own per-unit price. A finite number of units of flavoring and milk are available (30 and 100). Each product is sold for a different price per gallon. These costs and prices are tabulated below. Product Ice-paragus Ice-amole Flavoring (units) Milk (units) Price per gallon ($) 2 5 4 5 Cost per unit $0.25 $0.30 Available units 30 100 $8.50 $9.50 (a) Ice-Dreams wishes to determine how many gallons of each ice cream to produce so as to maximize net profit (sales revenue minus ingredient costs). Assuming all produced ice cream will be sold, formulate this problem as a linear program. (b) Convert the model you created in part (a) into standard form. (c) Use the Simplex Method (both phases if necessary) to either find an optimal solution for this LP or explain why it is impossible to do so. Ice-Dreams is a specialty ice cream company making hard-to-find flavors. Its newest two products are Ice-spargus (asparagus flavored) and Ice-amole (guacamole flavored). The main drivers of production are flavoring and milk. Each product requires different amounts of each ingredient (flavoring and milk), each of which has their own per-unit price. A finite number of units of flavoring and milk are available (30 and 100). Each product is sold for a different price per gallon. These costs and prices are tabulated below. Product Ice-paragus Ice-amole Flavoring (units) Milk (units) Price per gallon ($) 2 5 4 5 Cost per unit $0.25 $0.30 Available units 30 100 $8.50 $9.50 (a) Ice-Dreams wishes to determine how many gallons of each ice cream to produce so as to maximize net profit (sales revenue minus ingredient costs). Assuming all produced ice cream will be sold, formulate this problem as a linear program. (b) Convert the model you created in part (a) into standard form. (c) Use the Simplex Method (both phases if necessary) to either find an optimal solution for this LP or explain why it is impossible to do so.