1. Which of the following optimizations is a Linear Program? a. Max x2+1 Subject to xty=2 and x 21 b. Min 1 Subject to 21 and x 2 0.5 C. Max x+y Subject to xytys5 d. None of the above2. Sunbuck is a new coffee shop in Hong Kong. The owner is deciding whether to sell a supreme mocha latte or regular mocha latte. Define the following binary variables: S = 1, if the owner decides to sell supreme mocha latte, 0 if not R = 1, if the owner decides to sell regular mocha latte, 0 if not Suppose that the owner wants to sell either supreme mocha latte or regular mocha latte, but not both. Which of the following constraints should be used? a. S+R=1 b. S+R21 c. S+R =1 d. None of the above