Question 1 Brawndo Corp. is the monopoly supplier of Brawndo a hybrid sports energy drink that plants crave. The drink is a blend of electrolytes and taurine.' If e is the number of units of electrolytes used and t the number of units of taurine used, the amount of Brawndo produced is f(e, t) = min {e2, t}. Currently the purchase price of a unit of electrolytes is $1 a unit while that of taurine is $0.5 a unit. (Note: round your answers to 2 decimal places.) 1. State the optimization problem that must be solved to determine the minimum cost blend of electrolytes and taurine needed to produce q units of Brawndo. 2. Determine Brawndo Corp.'s cost function for producing Brawndo. 3. What kind of returns to scale does Brawndo's production technology exhibit? 4. The inverse demand curve for Brawndo is 100 - q where q is the quantity of Brawndo produced. What is the profit maximizing quantity of Brawndo that should be produced? 1https: //youtu. be/kAqIJZeeXEc5. What unit price for Brawndo should a regulator seeking to maximize the sum of consumer surplus and Brawndo profit set? 6. The producer of taurine, is contemplating changing the price she charges to Brawndo Corp. for taurine. What unit price should she set to maximize her profit? The Taurine pro- ducer's cost of producing taurine is zero. Keep in mind that Brawndo Corp. will change its production and pricing decisions in response to a change in the taurine price