Resource Allocation   Podunk Institute of Technology's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 40students, and each section of Applied Calculus has 30. The department is allowed to offer a total of up to 70 sections. Furthermore, no more than 2,400 students want to take a math course. (No student will take more than one math course.) Draw the feasible region that shows the number of sections of each class that can be offered. What are the four points om the graph taht demonstrate x is greater than or equal to zero or y is greater than or equal to 0 (_,0/_,1/0,_/1,_)

If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.

At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?