angel34emb
22.02.2021 •
Business
A company is developing its weekly production plan. The company produces two products, A and B, which are processed in two departments. Setting up each batch of A requires $60 of labor while setting up a batch of B costs $80. Each unit of A generates a profit of $17 while a unit of B earns a profit of $21. The company can sell all the units it produces. The data for the problem are summarized below.
Hours required by
Operation A B Hours
Cutting 3 4 48
Welding 2 1 36
The decision variables are defined as:
xi = the amount of product i produced
yi = 1 if xi > 0 and 0 if xi = 0
A spreadsheet implementation of the problem is shown below.
Q1. What is the objective function for this problem?
a. Maximize: 17x1 + 21x2 - 60y1 - 80y2
b. Minimize: 60y1 + 80y2
c. Minimize: 17x1 + 21x2 - 60y1 - 80y2
d. d. Maximize: 17x1 + 21x2
Q2. What is the appropriate formula to use in cell E8 of the Excel implementation of the ILP model for this problem?
a. =SUMPRODUCT(B8:C8,B14:C14) - SUMPRODUCT(B5:C5,B7:C7)
b. =SUMPRODUCT(B5:C5,B7:C7) - SUMPRODUCT(B8:C8,B14:C14)
c. =SUMPRODUCT(B5:C5,B7:C7) - SUMPRODUCT(B8:C8,B15:C15)
d. =SUMPRODUCT(B5:C5,B7:C7) - B8:C8
Q3. Which of the following algebraic constraints creates the link between setting up to produce A's and making some A's for this problem?
a. x1 - 18 y1 > 0
b. x1 - y1 = 0
c. = if(x1 > 0, y1 = 1, y1 = 0)
d. x1 < 16y1
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Ответ:
The responses to this question can be defined as follows:
Explanation:
In question 1, the objective function to solve the given problem is:
In question 2, " "
is the appropriate choice for the formula, which is using in cell E8, and it is also used in the ILP model.
In question 3, the choice "" is used in the algebraic constraint for creating the link between setting up to produce A's and making some A's.
Ответ:
4ft
Step-by-step explanation:
A) This is a Pythagorean Triple.
B) 3^2 +x^2=5^2
9+x^2=25
x^2=16
x=4