Question

The artisans at Jewelry Junction in Phoenix are preparing to make gold jewelry during a 2-month period for the Christmas season. They can make bracelets, necklaces, and pins. Each bracelet requires 6.3 ounces of gold and 17 hours of labor, each necklace requires 3.9 ounces of gold and 10 hours of labor, and each pin requires 3.1 ounces of gold and 7 hours of labor. Jewelry Junction has available 125 ounces of gold and 320 hours of labor. A bracelet sells for $1,650, a necklace for $850, and a pin for $790. The store wants to know how many of each item to produce to maximize revenue.a. Formulate an integer programming model for this problem.b. Solve this model by using the computer. Compare this solution with the solution with the integer restrictions relaxed and indicate whether the rounded-down solution would have been optimal.

Answer 1

Answer:

The max revenue is "$32,300". The further explanation is described below.

Explanation:

(a)

The composition as well as response of models within 6 rows seems to be as described in the following:  

Maximum 1650B + 850N + 790P (B bracelets, N necklaces and P pins produce overall revenue)  

Yes of course,

The total gold ounces will be:

⇒  $6.3B+3.9N+3.1P < = 125$

The total labor hours will be:

⇒  $17B+10N+7P < = 320$

Integers B, N, P will become  

The response for LINDO is:

B=10.0.

N=0  

P=20  

Final Value of Maximization will be:

= 32,300

(b)

• 10 bracelets, hardly any necklaces as well as 20 pins should always be made by the shop.  
• These goods utilizing 125 ounces of gold simultaneously,  
• It would use 310 hours of labor although 10 hours would then stay unused.  

The maximum salary will become:

= $32,300.