5. Adrian has $21 to spend on energy drinks and protein bars. He wants to maximize his utility on his purchase. Based on the data in the below table: Quantity S 6 7 Energy Drinks $3.00 1 2 3 T 4 Protein Bars $1.50 MU TU Quantity MU TU 84 84 1 36 36 72 156 2 30 66 60 216 3 24 90 48 264 4 18 108 36 300 5 12 120 24 324 6 6 126 12 336 7 0 126 8 0 336 8 -6 120 a. How many energy drinks and protein bars should Adrian purchase, given that price of an energy drink is $3 and price of protein bar is $1.5? Show your work. b. What is his total utility from this purchase? Show your work. c. Does the utility-maximizing rule hold true for this purchase? Explain.