The diagram shows two sets of vectors that result in a single vector. what are the first two steps for finding the magnitude of the resultant vector? find the square of the first horizontal vector and the square root of the first vertical vector find the square root of the first horizontal vector and the square root of the second horizontal vector find the sum of the two horizontal vectors and the sum of the two vertical vectors find the difference between the two horizontal vectors and the difference between the two vertical vectors

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