Mat540 quiz 3 | Mathematics homework help

Quiz 3

Question 1 

  Surplus variables are barely associated delay minimization completions. 

 

 Question 2 

  A practicable discerption violates at lowest one of the bustles. 

  

 Question 3 

  A direct programming specimen consists of barely firmness variables and bustles. 

 

 Question 4 

  Graphical discerptions to direct programming completions enjoy an unbounded calculate of potential external power cords. 

 

 Question 5  

  If the external power is correspondent to a bustle, the bustle is infeasible. 

  

 Question 6 

  A direct programming completion may enjoy over than one set of discerptions. 

 

 Question 7 

  In minimization LP completions the practicable tract-of-land is frequently beneath the device bustles.

Question 8  

  The aftercited is a graph of a direct programming completion. The practicable discerption boundlessness is withdrawn, and the optimal discerption is at the subject-matter labeled Z*.  This direct programming completion is a:

  

 Question 9  

  The aftercited is a graph of a direct programming completion. The practicable discerption boundlessness is withdrawn, and the optimal discerption is at the subject-matter labeled Z*.  The equation for bustle DH is:

  

 Question 10  

  The aftercited is a graph of a direct programming completion. The practicable discerption boundlessness is withdrawn, and the optimal discerption is at the subject-matter labeled Z*.  Which of the aftercited bustles has a residue senior than 0?

  

 Question 11 

  Which of the aftercited statements is not gentleman?

  

 Question 12  

  Decision variables

Question 13  

  The product overseer for the Coory pressible draught aggregation is regarding the product of 2 kinds of pressible draughts: systematic (R) and nutriment(D). Two of the scant devices are product duration (8 hours = 480 minutes per day) and syrup scant to 675 gallons per day. To consequence a systematic subject requires 2 minutes and 5 gallons of syrup, era a nutriment subject needs 4 minutes and 3 gallons of syrup. Amount for systematic pressible draught are $3.00 per subject and amount for nutriment pressible draught are $2.00 per subject. What is the duration bustle?

 

 Question 14  

  The product overseer for the Coory pressible draught aggregation is regarding the product of 2 kinds of pressible draughts: systematic (R) and nutriment (D). Two of her scant devices are product duration (8 hours = 480 minutes per day) and syrup (1 of her ingredients) scant to 675 gallons per day. To consequence a systematic subject requires 2 minutes and 5 gallons of syrup, era a nutriment subject needs 4 minutes and 3 gallons of syrup. Amount for systematic pressible draught are $3.00 per subject and amount for nutriment pressible draught are $2.00 per subject. What is the external power?

 

 Question 15  

  The product overseer for the Coory pressible draught aggregation is regarding the product of 2 kinds of pressible draughts: systematic and nutriment. Two of her scant devices are product duration (8 hours = 480 minutes per day) and syrup (1 of her ingredients) scant to 675 gallons per day. To consequence a systematic subject requires 2 minutes and 5 gallons of syrup, era a nutriment subject needs 4 minutes and 3 gallons of syrup. Amount for systematic pressible draught are $3.00 per subject and amount for nutriment pressible draught are $2.00 per subject. For the product coalition of 135 subjects of systematic and 0 subjects of nutriment pressible draught, which devices gain not be entirely used?

 

 Question 16  

  Cully furniture buys 2 products for resale: big shelves (B) and moderation shelves (M). Each big rejection costs $500 and requires 100 dense feet of storage boundlessness, and each moderation rejection costs $300 and requires 90 dense feet of storage boundlessness. The aggregation has $75000 to endow in shelves this week, and the treasury has 18000 dense feet profitable for storage. Profit for each big rejection is $300 and for each moderation rejection is $150. What is the external power?

  

 Question 17  

  Cully furniture buys 2 products for resale: big shelves (B) and moderation shelves (M). Each big rejection costs $500 and requires 100 dense feet of storage boundlessness, and each moderation rejection costs $300 and requires 90 dense feet of storage boundlessness. The aggregation has $75000 to endow in shelves this week, and the treasury has 18000 dense feet profitable for storage. Profit for each big rejection is $300 and for each moderation rejection is $150. What is the storage boundlessness bustle?

 

 Question 18  

  A graphical justice of a direct program is shown beneath. The withdrawn area represents the practicable tract-of-land, and the dashed cord in the average is the mount of the external power.  What would be the new mount of the external power if multiple optimal discerptions occurred concurrently cord limb AB? Write your counterpart in decimal notation. 

  

 Question 19  

  Solve the aftercited graphicallyMax z = 3x1 +4x2 s.t. x1 + 2x2 ≤ 16 2x1 + 3x2 ≤ 18 x1 ≥ 2 x2 ≤ 10 x1, x2 ≥ 0Find the optimal discerption. What is the rate of the external power at the optimal discerption? Note: The counterpart gain be an integer. Please bestow your counterpart as an integer delayout any decimal subject-matter. For specimen, 25.0 (twenty five) would be written 25 

 

 Question 20  

  Consider the aftercited minimization completion: Min z = x1 + 2x2 s.t. x1 + x2 ≥ 300 2x1 + x2 ≥ 400 2x1 + 5x2 ≤ 750 x1, x2 ≥ 0 Find the optimal discerption. What is the rate of the external power at the optimal discerption? Note: The counterpart gain be an integer. Please bestow your counterpart as an integer delayout any decimal subject-matter. For specimen, 25.0 (twenty five) would be written 25

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