1answer.
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
WINSTONCH [101]
3 years ago
5

Donna de paul is raising money for the homeless. She discovers that each church group requires 2 hours of let her writing and 1

hour of follow-up while for each labor union she needs 2 hours of letter written and 3 hours of follow-up. Donna can raise $150 from each church group and $200 from each Union Local and she has a maximum of 20 hours of letters written and a maximum of 16 hours of follow-up available per month. Determine the most profitable mixture of group she should contact in the most money she can lose in a month.
z=()x1+()x2
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0

Answer:

x  =  7

y  =  3

z (max)  =  4950/3  =  1650

Step-by-step explanation:

Let call  

x numbers of church goup and

y numbers of Union Local

Then  

First contraint

2*x + 2*y ≤ 20

Second one

1*x + 3*y ≤ 16

Objective Function

z = 150*x + 200*y

Then the system is

z = 150*x + 200*y To maximize

Subject to:

2*x + 2*y ≤ 20

1*x + 3*y ≤ 16

x ≥ 0 y ≥ 0

We will solve by using the Simplex method

z - 150 *x - 200*y = 0

2*x + 2*y + s₁ = 20  

1*x + 3*y + 0s₁ + s₂ = 16

First Table

z           x          y          s₁           s₂          Cte

1        -150    -200       0            0     =      0

0          2         2           1            0     =    20

0          1          3          0            1      =     16

First iteration:

Column pivot   ( y column ) row pivot (third row) pivot 3

Second table

z           x                y          s₁           s₂                Cte

1       -250/3           0          0         200/3    =    3200/3

0      - 4/3               0          -1           2/3       =    -20/3

0         1/3               1            0           1/3       =    -20/3

Second iteration:

Column pivot  ( x column ) row pivot  (second row)  pivot  -4/3

Third table

z           x                y          s₁           s₂                Cte

1            0               0      750/12    700/6    =   4950/3

0            1                0        3/4          -1/2     =    7

0            0                1         -1/4          1/2     =  9/3

You might be interested in
Norm has $15,000 to deposit. His daughter is a junior in high school and plans to go to college. Recommend the best way for Norm
Aloiza [94]
<span>The best way for Norm to store his money is through C. A money market account paying 3.5% interest, renewable for three-month commitments. Even though a four-year CD offers a higher interest at 4.8%, the fact that there is a substantial penalty for early withdrawal is a negative factor for Norm. His daughter needs the money after 2 years since she is already a junior in high school.</span>
8 0
3 years ago
Read 2 more answers
Eight thousand six and thirty-four thousandths<br> * Write as a decimal
valentinak56 [21]

Answer:

8,006.034

Step-by-step explanation:

eight thousand six = 8,006

and = .

thirty-four thousandths = .034

5 0
3 years ago
Compare 8 ⋅ 107 to 2 ⋅ 104. Plz Answer 25 Points!!!
Shalnov [3]
The answer is the first row.

Explanation:

8 * 10^7 = 80,000,000 -- 2 * 10^4 = 20,000

80,000,000 divided by 20,000 = 4,000, so it is 4,000 times larger

Therefore, the first answer is correct.

Hope I helped and good luck!
3 0
3 years ago
Read 2 more answers
Help me or I will <br> J f. Fxou
kkurt [141]

Answer

Step-by-step explanation: cube

8 0
3 years ago
Need help pls I'm having a very hard tim would appreciate for help
Zinaida [17]
Part A
blueberries
2/8 × 6/1(drinks) = 12/8cups
banana slice
5/8 × 6/1(drinks) = 30/8cups

30/8 + 12/8 = 42/8 cups<---- that's the answer

Part B
yogurt
4/8 × 6/1 (drinks) = 24/8 cups of yogurt <---
and 6 drinks × 1 cups of ice = 6 cups of ice <---
7 0
3 years ago
Other questions:
  • What is between 22.5 and 30
    7·1 answer
  • Is 25/1000 grater than or less than 0.205
    8·2 answers
  • What scale is this??
    9·1 answer
  • Where does each answer belong in the boxes?? Right answers only, help please!! :))
    5·1 answer
  • What does X equal in 4x+1=5x-4
    12·1 answer
  • The two triangles below are similar. What is the similarity ratio of ∆ABC to ∆DEF?
    12·2 answers
  • Could someone please help me with 1 and 2 please
    13·1 answer
  • Help this is my midterm
    12·2 answers
  • Choose the correct answer 1 1/12 - 7/10 greater than half or less than half​
    12·1 answer
  • If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it acc
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!