14. A store will purchase 10 units if the price $70 but 30 units if the price is $20, A manufacturer is willing to source 24 units if the price is $77 and 4 units if the price is $22. Assume the supply and demand functions for the product are linear. (a) (4 pts) What is the equation of the supply function, S(g)? (b) (4 pts) What is the equation of the demand function, D(q)? (c) (3 pts) What is the market equilibrium? Write solution as a complete sentence with correct units for full credit