The estimated demand function for coffee is Qequals21minusp, and the estimated supply function is Qequals3plus0.25p. Write equations for the equilibrium price and quantity as a function of a specific tax t. Assume the tax is paid by producers. The equilibrium price (as a function of the tax, t) is pequals 14.4 plus 0.2 t. The equilibrium quantity (as a function of the tax, t) is Qequals 6.6 minus 0.2 t. What are the equilibrium price and quantity and the tax incidence on consumers if tequals0.90? If the tax is tequals$0.90, then the equilibrium price is pequals$ .

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1