Find the average value of F(x, y, z) = z over the region bounded below by the xy-plane, on the sides by the sphere x2 + y2 + z2 = 36, and bounded above by the cone ϕ = π 3 .

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.