need help setting up table!!!

[wmosley2]

Can someone help me set up the table for this problem..


Suppose that a large hospital classified its surgical operations into three categories according to their length and charges a fee of $600, $900, and $1200, respectively, for each of the categories. The average time of the operations in the three categories is 30 minutes, 1 hour, and 2hours, respectively; and the hospital has four operating rooms, each of which can be used for 10 hours per day. If the total number of operations cannot exceed 60, how many of each type should the hospital schedule to maximize its revenues?

[alkatran]

operation type 1: (a)
profit: 600$
Time: 30 minutes
Speed: 10$/min

Type 2: (b)
Profit: 900$
Time: 60 minutes
Speed: 15$/min

Type 3: (c)
Profit: 1200$
Time: 120 minutes
Speed: 10$/min

30a + 60b + 120c <= 2400
a + 2b + 3c <= 80
a + b + c <= 60

You want to have as many of type 2 as possible, then type 3, then type 1.

Assume all type 2:
2400 minutes / 60 minutes = 40 operations total
40 <= 60 == true
2*40 <= 80 == true
15$/min * 2400 minutes = 36 000$

Good luck finding a better answer. This problem has it's operation limit set too high.

[dglienna]

why don't we just start a HOMEWORK forum. It seems obvious that we don't have any farmers or hospital planners posting here!