The Pinewood Furniture Company produces chairs and tables from two resources - labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Solve this model by using linear programming.
The total number of constraints in this problem, including non-negativity constraints is:
4
7
8
6
5
7. If tables (T) sell for $50 profit and chairs (C) sell for $30 profit, then which of the following represents the objective function?
Minimize: Z = 50C + 30T
Maximize: Z = 50C + 30T
Maximize: Z = 30C + 50T
Maximize: Z = 30T - 50C
None of the above
8. Cerebro Manufacturing produces four types of structural support fittings - plugs, rails, rivets, and clips - which are machined on two CNC machining centers. The machining centers have a capacity of 250,000 minutes per year. The gross margin per unit and machining requirements are shown in the spreadsheet below.
A B C D E F
1 Cerebro Manufacturing Model
2
3 Product Plugs Rails Rivets Clips Machine Capacity (mins./year)
4 Gross margin/unit $0.40 $1.20 $0.80 $1.10
5 Minutes/unit 1 2 3 1.5
6 Gross margin/minute
7 Maximum production
8 Profit
Assuming that one half of the machine capacity is used for the production of plugs. What is the maximum possible production of plugs based on this capacity?
83,333.33
125,000
166,666.67
250,000
None of the above