Maximize 6x + 5y + 4z subject to the constraints: 2x + y + z < 180
x + 3y + 2z < 300
2x + y + 2z < 240
X > 0, y > 0, z > 0

On the day a coffee shop first opened, it had 140 customers. 65% of the customers ordered a large coffee. how many customers ordered a large coffee? enter your answer in the box.

Anew test for ra is being developed. the test is administered to 750 patients with ra and 750 without ra. for the sake of the question, assume the prevalence of ra in this population is 50%. of the 750 patients with ra, 575 have a positive result. of the 750 patients without ra, 150 have a positive result. what is the positive predictive value of the new test? a575/(575+150) b. 600/(600+ 150) c. 575/(575+125) d. 600/(600+ 125)

The algebraic expression shown below is missing two whole number constants. determine the constants so that the expression simplified to 14x + 11 4x + 8(x + + + 2x