Chrissy has two types of clients the first type of clients are those that need to maintain high levels of protein intake, have intensive work-outs 4 days a week, and need to lower their body weight. The second type of clients are those that need to increase their weight along with their fitness levels for optimal outcome of their sessions with Chrissy. She realizes that the Nutritional Blend she created earlier would be sufficient for the first type of client, but the second type of clients require a different blend for their nutritional needs. Thus, Chrissy decides that she would create two different formulas using the same Type A, Type B, and Type C protein powders, where Formula 1 would cater to the first type of client and Formula 2 would cater to the second type of client. Formula 1 contains 60 gm of protein, 45 gm of carbohydrates, and 20 gm of fat per serving whereas Formula 2 contains 20 gms of protein, carbohydrates, and fats each per serving. The cost of producing 1 lb of Formula 1 is $15.94 and the cost of producing each pound of Formula 2 is $9.52. Chrissy intends to sell Formula 1 for a price of $20 and Formula 2 for a price of $15 per pound. The following table shows that Chrissy has spent $925 in obtaining Type A, Type B, and Type C protein powders at this time. Her calculations have shown that Formula 1 contains 41% of Type A, 45% of Type B, and 14% of Type C powders, whereas Formula 2 contains 5% of Type A, 31% of Type B, and 64% of Type C powders. Remember that the percentages also represent the proportion of each type of formula per lb. Help Chrissy determine how many pounds of Formula 1 and Formula 2 should she create from her ingredients to maximize her profit using a linear programming model. What will be the optimal solution?

1. Start by identifying profit per lb for each Formula.
2. Write out the LP in equation form first
3. Are the prices per lb even relevant for your solution? Think carefully.
4. Remember to include the integer constraint on Formula 1 and Formula 2 output in Solver to get an exact answer