A beam is pivoted at one end, as shown. The beam weighs 6.0 N and its weight acts at a point X, 40 cm from the pivot.
A force of 4.0 N is applied to the beam causing it to balance horizontally.
In which direction and where is the 4.0 N force applied?
A
downwards at 20 cm to the left of X
B
downwards at 20 cm to the right of X
Cupwards at 20 cm to the left of X
D upwards at 20 cm to the right of X​

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