The owner of a new restaurant wants to have seating for more than 75 people. there is currently a

private chef’s table that seats 3 people. the owner plans to buy m tables that each seat 4 people.

which inequality can be used to show the situation?

4(m + 3) > 75

3(m + 4) > 75

4m + 3 > 75

3m + 4 > 75

show your work

Step-by-step explanation:

Given:

Number of people to be seated should be greater than 75.

Let be the number of people. So,

Now, there is a single private chef's table that can seat 3 people.

Tables bought by the owner =

Number of people seated in 1 table = 4

So, number of persons that can be seated in tables =

Now, total number of persons that can be seated in these two types of tables is the sum of 3 and

Therefore,

But,

Hence, the inequality to show the situation is:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

75

step-by-step explanation: