3. (honors) the heat will transfer from the hot object to the cold objects. think
about what that
what will the equilibrium temperature be when a 270g block of copper at 300°c
is placed in a 150-g aluminum calorimeter cup containing 820-g of water at
12.0°c (the cup and the water are at equilibrium before the metal is added). the
specific heat of copper is 0.093 cal/g°c and the specific heat of aluminum is 0.22
cal/g°c.

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit