20 points The Big Bang Novelty Company (BBNC) makes 3 types of noise-makers: Toot, Wheat, and Honk. A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 20 minutes, has two feathers, and is sprinkled with 0.5 ounces of sequin powder. The Honk requires 30 minutes, three feathers, and 1 ounce of sequin powder. The unit prots are $0.25 per Toot, $0.55 per Wheet, and $0.70 per Honk. The following resources are available: 80 hours or 4800 mins of labor, 360 feathers, and 100 ounces of sequin powder. BBNC would like to maximize the overall profit from the noise-makers. (a) Find the number of each type of noisemaker BBNC should produce to maximize prot. (I: )How much ofthe resources (labor, feathers, and sequin powder) will be used by the optimal solution? {c} If the availability of labor increases by 6 hours (convert to minutes}, what is the optimal total prot? (d) Assume the labor availability is back at the original 80 hours. Now if the unit prot of Honk is actually $0.85 instead of 50.70, will this change the solution? How many of each product would you make in this case? A B C D E F G H I K 16 17 18 Toot Wheet Honk Total Profit 19 Unit profit 0.25 0.55 0.7 20 21 Solution 22 LHS RHS 23 Labor (in minu 30 20 30 4800 24 Feathers 1 2 3 360 25 Sequin 0.5 1