answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fiesta28
3 months ago
9

The constraint 5x 1 + 3x 2 ≤ 150 is modified to become a goal equation, and priority one is to avoid overutilization. Which of t

he following is appropriate? a. Min P1d1− ; 5x1 + 3x2 + d1− − d1+ = 150 b. Min P1d1+ ; 5x1 + 3x2 + d1− − d1+ = 150 c. Min P1d1+ ; 5x1 + 3x2 + d1+ = 150 d. Min P1d1+ ; 5x1 + 3x2 − d1+ = 150
Mathematics
1 answer:
tester [12.3K]3 months ago
7 0

Response:

c. Optimize P,d1+; 5x1 + 3x2 + d1+ = 150

Detailed explanation:

5x1 + 3x2 = 150. To change an equation to equality, we introduce an ‘artificial’ variable (d1): 5X1 + 3X2 + d1 = 150. An artificial variable is used in linear programming and doesn't have a direct physical significance. It serves to provide an initial basic feasible solution for beginning the simplex method. It's important to note that an artificial variable cannot be part of the final solution. In this scenario, we use this artificial variable to prevent overutilization.

You might be interested in
Name three common measurements that are expressed as a ratio of two units.
Zina [12379]
Mpg is one...........
8 0
2 months ago
Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each mon
lawyer [12517]
I would choose B...............
6 0
2 months ago
Read 2 more answers
A carton contains 1 3/4 quarts of ice cream. One serving is 1/5 of a quart. How many servings of ice cream are in the bucket? A)
Zina [12379]
(1 3/4) divided by (1/5) =
(7/4) ÷ (1/5) =
7/4 multiplied by 5/1 =
35/4 or 8 3/4 <===
4 0
2 months ago
.580 80 repeating as fraction
Svet_ta [12734]
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.

Then we will assign a variable to represent the value and also shift the repeating segment to the left.

Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;

\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\&#10;-------------------------------

\bf thus\qquad \begin{array}{llll}&#10;100\cdot x&=&580.80\overline{80}\\&#10;&&575+5.80\overline{80}\\&#10;&&575+x&#10;\end{array}\qquad \implies 100x=575+x&#10;\\\\\\&#10;99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}&#10;\\\\\\&#10;\cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}

you can verify that using your calculator.
4 0
2 months ago
Read 2 more answers
Other questions:
  • The number of members f(x) in Joe's health club increased by 25% every year over a period of x years. The function below shows t
    5·2 answers
  • must a function that is decreasing over a given interval always be negative over that same interval explain
    15·2 answers
  • Two investors have net worths of $12 million (investor A) and $1 million (investor B). they set their investment limits at 2% an
    7·1 answer
  • What is the following product? RootIndex 3 StartRoot 16 x Superscript 7 Baseline EndRoot times RootIndex 3 StartRoot 12 x Supers
    6·1 answer
  • The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2. What is the surface a
    5·3 answers
  • The gestation period of rhinos ​(487 ​days) is​ _____ percent longer than the gestation period of bears ​(220 ​days).
    5·1 answer
  • A survey asks a random sample of 2500 adults in California if they support an increase in the state sales tax from 7.50% to 7.75
    15·1 answer
  • You are given a rectangular sheet of cardboard that measures 11 in. by 8.5 in. (see the diagram below). A small square of the sa
    5·1 answer
  • Randal builds and sells cabinets. When deciding what price to charge for a project, he considers the cost of materials and the t
    10·2 answers
  • Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasolin
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!