Question
In: Advanced Math
QUESTION 4 [20 MARKS] T A company manufactures XPRINGLE and YPRINGLE products from Gold and Silver....
QUESTION 4 [20 MARKS] T A company manufactures XPRINGLE and YPRINGLE products from Gold and Silver. One XPRINGLE requires 5 grams of Gold and 4 grams of Silver while one YPRINGLE needs 4 grams of Gold and 3 grams of silver. The company has only 400 grams of Gold while it can use at least 120 grams of Silver. The production process must produce at least 10 of XPRINGLE. It should also produce at least 10 of YPRINGLE but cannot exceed 80 of this type. The profit for one XPRINGLE is P100 and for one YPRINGLE is P150. Let ? represent the number of XPRINGLE and ? represent the YPRINGLE. Required:
a. Formulate the linear programme for this production process
clearly stating all the
constraints and the objective function.
b. Show the linear programme graphically.
c. Use the corner points to recommend the production mix that will
maximize profit.
(4 minutes)
d. If the production process is allocated 990 min with the XPRINGLE
taking 11 minutes
YPRINGLE taking 9 minutes, would the result obtained in (d)) above
change? Explain
fully.
Solutions
Colby Messinger answered 5 months agoRelated Solutions
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