Consider the situation where two speakers facing the same direction are two metres apart. The speakers are in phase, that is, they are producing exactly the same frequency and their movements are exactly synchronised with each other. The two speakers are separate sources of sound waves that diffract at the speaker aperture and then constructively and destructively interfere with each other. What name is given to the points where constructive interference occurs?

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