Your restaurants Super Lean Burger uses 02 lb of beef and 00

Your restaurant\'s Super Lean Burger uses 0.2 lb of beef and 0.03 lb of seasoning mix. It will be priced at a loss of $0.12 per burger. The Deluxe Stuffed Burger uses 0.23 lb of beef and 0.1 lb of mix. It will be sold at a loss of $0.08. Finally, Super-Duper Deluxe Burger uses 0.3 lb of beef and 0.01 lb of mix. Your company will lose $.05 on each burger of this type sold. Your restaurant\'s chef has ordered and allocated 3000 lb of beef and 400 lb of seasoning mix for making the burgers during this promotion. Your company\'s accountant has set a limit of $1000 loss for this promotion. • Determine the number of each type of burger your restaurant should plan to sell during this promotion.

Would someone please be able to set up the initial simplex tableau for me?

Here\'s how I set everything up, but it isn\'t turning out with the correct anwsers. I know the answers, but am having trouble understanding what I\'m doing wrong. Thank you!

x+y+z=P

.02x+.23y+.3z<=3000

.03x+.01y+.01z<=400

.12x+.08y+.05z<=1000

x>=0, y>=0, z>=0

Solution

This is the required table.

Or it can be solved by making equations as

0.2x+0.03y<=.012

0.23x+0.1y<=0.08

0.3x+.01y<=0.05

and z=3000x+400y