LP Blending Problem | Formulation + Solution | Product Mix Example

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  • Опубліковано 6 жов 2024

КОМЕНТАРІ • 7

  • @magorzatapetzel7619
    @magorzatapetzel7619 Рік тому +3

    Better solution (Excel Solver)
    R1 = 32 000, R2 = 73 000, R3 = 99 000, P1 = 50 000, P2 = 23 000, P3 = 0
    Objective function value = 0,15774 E +08

    • @joshemman
      @joshemman  Рік тому +6

      You're right. At 04:39, I used -0.25R1 - 0.25R2 +0.75R3 ≤ 0 in my input instead of -0.25R1 - 0.25R2 +0.75R3 ≥ 0.
      Thanks, Małgorzata Petzel, for taking the time to check it out and for posting.

  • @sonceraelewis7231
    @sonceraelewis7231 8 місяців тому

    how would you input these numbers into Excel? Thank you!

    • @joshemman
      @joshemman  8 місяців тому

      See if this video helps: ua-cam.com/video/ziVlZrTmtI4/v-deo.html

  • @norahwere8977
    @norahwere8977 День тому +1

    Hi Joshua,
    I have watched this video so many times and still struggling with this assignment, what am I doing wrong, Kindly assist. Thank you
    2. The Mill Mountain Coffee Shop blends coffee on the premises for its customers. It sells three
    basic blends in 1-pound bags, Special, Mountain Dark, and Mill Regular. It uses four different
    types of coffee to produce the blends - Brazilian, mocha, Colombian, and mild. The shop has the
    following blend recipe requirements:
    Blend Mix requirements Selling price ($)/pound
    Special At least 30% Columbian, at least 40% mocha 6.20
    Dark At least 50% Brazilian, no more than 10% mild 5.50
    Regular No more than 70% mild, at least 30% Brazilian 4.00
    The cost of Brazilian coffee is $2.00 per pound, the cost of mocha is $2.75 per pound, the cost
    of Colombian is $2.90 per pound, and the cost of mild is $1.70 per pound. The shop has 110
    pounds of Brazilian coffee, 70 pounds of mocha, 80 pounds of Colombian, and 150 pounds of
    mild coffee available per week. The shop wants to know the amount of each blend it should
    prepare each week to maximize profit.
    (a) Define the decision variables
    (b) Write the objective function
    (c) (6Pts) List all the constraints.

    • @joshemman
      @joshemman  23 години тому +1

      See if this helps: www.studocu.com/en-ca/document/humber-college/statistics/final-exam-review-8-december-2016-questions-and-answers/3557972
      OR
      mathcracker.com/solution-library/mill-mountain-coffee-shop-blends-coffee-premises-45415

    • @norahwere8977
      @norahwere8977 20 годин тому +1

      @@joshemman Thank you so much! Let me check it out. Be blessed!