A new hospital in Springfield starts out with 11 junior residents and 5 senior readings on its staff. Management plans to to hire additional personnel at a rate of 1 junior resident per month and 3 senior residents per month. Eventually there will be an equal number of each on the hospital staff. How long will that take? How many of each type will be there be?

3 months

14 of each type of staff

Step-by-step explanation:

Starting employees

Junior residents = 11

Senior readings = 5

Additional personnel at a rate of 1 junior resident per month and 3 senior residents per month

Junior residents = 11 + m

Senior readings = 5 + 3m

Where,

m = number of months

How long will that take?

Equate both expression

11 + m = 5 + 3m

11 - 5 = 3m - m

6 = 2m

Divide both sides by 2

m = 6/2

= 3

m = 3 months

Junior residents = 11 + m

= 11 + 3

= 14

Senior readings = 5 + 3m

= 5 + 3(3)

= 5 + 9

= 14

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

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