1. during each 4-hour period, the smalltown police force requires the following number of on-duty police officers:
12 midnight to 4 am –8;
4am to 8am –7;
8am to 12 noon –6;
12 noon to 4pm –6;
4pm to 8pm –5;
8 pm to 12 midnight –4.
each police officer works two consecutive 4-hour shifts. formulate an lp that can be used to minimize the number of police officers needed to meet smalltown’s daily requirements.

You have $22,000 to invest in a stock portfolio. your choices are stock x with an expected return of 11 percent and stock y with an expected return of 13 percent. if your goal is to create a portfolio with an expected return of 11.74 percent, how much money will you invest in stock x? in stock y?

If springfield is operating at full employment who is working a. everyone b. about 96% of the workforce c. the entire work force d. the robots

Amonopolist’s inverse demand function is p = 150 – 3q. the company produces output at two facilities; the marginal cost of producing at facility 1 is mc1(q1) = 6q1, and the marginal cost of producing at facility 2 is mc2(q2) = 2q2.a. provide the equation for the monopolist’s marginal revenue function. (hint: recall that q1 + q2 = q.)mr(q) = 150 - 6 q1 - 3 q2b. determine the profit-maximizing level of output for each facility.output for facility 1: output for facility 2: c. determine the profit-maximizing price.$