Aphysics instructor wants to produce a double-slit interference pattern large enough for her class to see. for the size of the room, she decides that the distance between successive bright fringes on the screen should be at least 3.00 cm. if the slits have a separation d=0.0175mm, what is the minimum distance from the slits to the screen when 632.8-nm light from a he-ne laser is used?

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