Explore BrainMass

Explore BrainMass

    Calculus

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Introduce slack variables as necessary, and then write the initial simplex tableau for each linear programming problem.
    1). Find x1 ≥ 0 and x2 ≥ 0 such that

    X1 + x2 ≤ 10
    5x1 + 3x2 ≤ 75
    and z = 4x1 + 2x2 is maximized

    2. Production -Knives The Cut-Right Company sells set of kitchens 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 knives 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 many of each type should produced in order to maximize profit? What is the maximum profit?

    3). Maximum z= 12x1 + 15x2 + 5x3
    Subject to 2x1 + 2x2 + x3 ≤ 8
    X1 + 4x2 +3x3 ≤ 12
    With x1≥ 0, x2≥ 0, x3≥ 0.

    © BrainMass Inc. brainmass.com March 4, 2021, 7:58 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/135770

    Solution Preview

    1) If you work out the solution by hand or with Excel(spreadsheet), you'll find that in order to maximize Z, x1 = ...

    $2.49

    ADVERTISEMENT