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
Svet_ta [14]
3 years ago
8

Jayanta is raising money for the? homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of? follow-

up calls, while each labor union needs 2 hr of letter writing and 3 hr of ?follow-up. She can raise ?$150 from each church group and ?$175 from each union. She has a maximum of 20 hours of letter writing and 14 hours of ?follow-up available each month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.
Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

Jayanta needs 2 labor union groups and 8 church groups.

Step-by-step explanation:

Let c denotes churches .

Let l denotes labor unions.

We know that Jayanta can only spend 20 hours letter writing and 14 hour of follow-up.

So, equations becomes:

2c+2l=20

c+3l=14

And total money raised can be shown by = 150c+175l

We have to maximize 150c+175l keeping in mind that 2c+2l \leq 20 and c+3l \leq 14

We will solve the two equations:  2c+2l=20 and c+3l=14

We get l = 2 and c = 8

And total money raised is 150\times8 + 175\times2 = 1200+350=1550 dollars.

Hence, Jayanta needs 2 labor union groups and 8 church groups.

You might be interested in
What is the area of the following trapezoid?<br> 13.5 yd 2<br> 3.38 yd 2<br> 6.75 yd 2<br> 8.25 yd 2
Neporo4naja [7]

Answer:

area =  \frac{a + b}{2} h \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  \frac{2 + 7}{2}  \times 1.5 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 6.75 {yd}^{2}

8 0
3 years ago
What is the value of X that makes equation true? -5(2x - 3) + 4x = -3x + 6
Alisiya [41]

Answer:

x=3

Step-by-step explanation:

6 0
3 years ago
Cube A and Cube B are similar solids. the volume of cube A is 27 cubic inches , and the volume of cube B is 125 cubic inches. ho
Norma-Jean [14]
The answer should be C because that’s the most reasonable and because you can’t simplify 125/7
3 0
3 years ago
Read 2 more answers
As shown in the figure , a metal cube of side 6 cm is melted and recast into a triangular prism . Find the height of the triangu
vivado [14]

Answer:

I believe it is 6.

Step-by-step explanation:

3 0
3 years ago
Which of the following steps is included in the construction of a parallel line to a given line?
timurjin [86]
If you eat an apple and keep the doctor away then do doctors not like apples
3 0
3 years ago
Read 2 more answers
Other questions:
  • One number is 6 times a first number. a third number is 100 times than the first number. If the sum of the three numbers is 784
    7·1 answer
  • Which type of triangle will always have exactly 1-fold reflectional symmetry?
    13·2 answers
  • Okay.
    6·1 answer
  • What is LCM of 2 4 8​
    5·1 answer
  • The graph below shows two polynomial functions, f(x) and g(x): Graph of f of x equals x squared minus 2 x plus 1. Graph of g of
    13·1 answer
  • Can ya'll help me pls
    15·1 answer
  • To get a student learner's permit to drive in New Jersey, an individual must be at least 16 years old. Let, a, represent the age
    10·1 answer
  • Find the balance in Grace’s account after 2 years for a principal of $2500 if the bank pays simple interest at a rate of 5.25%.
    11·1 answer
  • Solve each system by elimination.<br> - 6r – 6y = -18<br> -5r + 8y = 24
    15·1 answer
  • Find the perimeter.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!