3. A pharmacist blends four chemicals components into three types of drugs pain pills, blood pills and sleeping pills. The maximum quantities available of each component and the cost per unit are as follows: Component Max. Available in grams/day Cost/gr 1 5100 $10 2 2500 8 3 4200 12 4 1800 6 To ensure that each drug keeps certain essential characteristics, the pharmacist has put limits on the percentages of the components in each blend. The limits as well as the selling prices for the 1 various drugs are as follows: The pharmacist wants to produce at least 3000 grams of each drug. Drug Component requirement Selling Price/gr Headache Not less than 40% of 1 $15 Not more than 25% of 2 Blood Not less than 20% of 2 18 Not less than 40% of 3 Sleeping Not more than 40% of 2 12 Not less than 15% of 1 Management wishes to determine the optimal mix of the four components that will maximize profit. Formulate a linear programming model for this problem. (just formulate it please)