Chapter SH, Problem 5.24EP

a.

To determine

To write inequality equation.

Answer to Problem 5.24EP

Inequality

  

Explanation of Solution

Given information:

Pups and suds need $975 a week to operate their business

Service charge of small or medium dog is $20

Service charge of large dog is $30

Calculation:

Let x be the number of small or medium dogs

Let y be the number of large dogs

Service charge of small or medium dog=20

Then,

Service charge of x number of small or medium dog=20x

Service charge of large dog=30

Then,

Service charge of y number of large dog=20x

Inequality

  

Hence, Inequality $20x+30y\ge 975$ .

b.

To determine

To find number of dogs wash to make profit.

Answer to Problem 5.24EP

41 dogs wash every week to make profit $975.

Explanation of Solution

Given information:

Inequality

  

Calculation:

Inequality

  

When only small and medium dogs are washed

Then, y=0

  

On solving,

  

Dividing both sides by 20

  

On solving,

  

Approximate

  

When only large dogs are washed

Then, x=0

  

On solving,

  

Dividing both sides by 30

  

On solving,

  

Approximate

  

Average dogs

  

On solving,

=41 dogs

Hence, 41 dogs wash every week to make profit $975.