Deluxe Knife

How do I set up this math table?
Production—Knives The Cut-Right Company sells sets
of kitchen knives. The Basic Set consists of 2 utility knives
and 1 chef’s knife. The Regular Set consists of 2 utility
knives, 1 chef’s knife, and 1 slicer. The Deluxe Set consists
of 3 utility knives, 1 chef’s knife, and 1 slicer. Their
profit is $30 on a Basic Set, $40 on a Regular Set, and $60
on a Deluxe Set. The factory has on hand 800 utility
knives, 400 chef’s knives, and 200 slicers. Assuming that all sets will be sold, how may of each type should be produced in order to maximize profit? What is the maximum profit?
I have this so far:
My table comes out mixed up when copying from Word, so I have Type of knife on side; Type of sets on Top. But what I don’t get is what I should assign xsub1, xsub2, and xsub3 to.
BasicRegularDeluxe
No. KnivesX1X2X3≤ 1400
Utility 223≤ 800
Chef 111≤ 400
Slicer 011≤ 200
Profit 304060
I’m not going to do the Calculus for you, but what needs to be done is write Three equations for the profit and summarize those, To Maximize, take the first derivative and set that equal to zero. Then solve the basic equation.
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