What is the appropriate (non-linear) objective function for this scenario (hint: distances are Euclidean)? b. Zoeys Catnip Toys faces the following relationship between price (p) and demand (v): v = 2000 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit. c. What price should Zoey charge to maximize profit in question 23.b?

23) An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand 6 (in thousands per day) are shown in Table below. a. What is the appropriate (non-linear) objective function for this scenario (hint: distances are Euclidean)? b. Zoey's Catnip Toys faces the following relationship between price (p) and demand (v): v= 2000 - 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit. c. What price should Zoey charge to maximize profit in question 23.b? City Jones Luther Harrah Edmond Norman Moore x-coordinate 6 10 12 0 34 3 y-coordinate 20 15 62 40 0 8 Demand 45 60 30 25 33 22