A confectioner sells two types of nut mixtures. The standard-mix package and the deluxe-mix package. The standard-mix contains 100 grams of cashews and 200 grams of peanuts and sells for $1.95. The deluxe-mix contains 150 grams of cashews and 50 grams of peanuts and sells for $2.25. The confectioner has 15 kilograms of cashews and 20 kilograms of peanuts available. Based on pasts sales, the confectioner needs to have at least as many standard as deluxe packages available. How many bags of each nut mixture should she package to maximize revenue? Note, if we let x represent the number of standard-mix packages and y represent the number of deluxe-mix packages sold, then we know the revenue produced by selling the packages is given by R(x,y)=1.95x+2.25y Clearly, to maximize revenue the confectioner would simply sell as many packages as possible. However, it is not as simple as that since there are some "constraints" that must be satisfied. Constraint 1: There are 15,000 grams of cashews available. Since the standard-mix uses 100 grams and the deluxe-mis uses 150 grams, we need to ensure that 100x+150y150002x+3y300 Constraint 2: There are 20,000 grams of peanuts available. Since the standard-mix uses 200 grams of the deluxe mix uses 50 grams, we need to ensure that 200x+50y200004x+y400 Constraint 3: The confectioner needs to have at least as many standard-mix packages as she has deluxe-mix packages, so we also require that xyyx Constraints 4 and 5: Since the confectioner cannot produce a negative number of packages, it must be that x0andy0