1. A hollow conductor in the form of a cube with small hole cut in one side has a charge +39 placed
on it. If a POINT charge of+q is introduced through the hole (without touching the shell) and
placed at some point near the center of the cube the total charge on the outer surface of the cube
becomes
a. +
+39
b. -4
c. +29
é o do
+39
+49
Introducing a charge tq
cross-section with Introduced
charge +

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