The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern Florida.

& P = 1000 - 5( Q 1 + Q 2 )). The costs of producing at the two facilities are C 1 (Q 1 ) = 10,050 + 5 Q 1 2 (M C 1 = 10Q 1) and C 2 (Q 2 ) = 5,000 + 2 Q 2 2 (MC2 = 4 Q 2 ), respectively. Determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company's profits. (Hint: MR1 = 1000 - 10Q1 - 5 Q2 & MR2 = 1000 - 10Q2 - 5 Q1 ).