Goldilocks needs to find at least 12 lb of gold and at least 18 lb of silver to pay the monthly rent. there are two mines in which goldilocks can find gold and silver. each day that goldilocks spends in mine 1, she finds 2 lb of gold and 2 lb of silver. each day that goldilocks spends in mine 2, she finds 1 lb of gold and 3 lb of silver. formulate an lp to goldilocks meet her requirements while spending as little time as possible in the mines. graphically solve the lp.

To minimize the time spent to achieve the goal, Goldilocks

must spend 4 days and a half in mine 1 and 3 days in mine 2

Step-by-step explanation:

Let's call x the number of days Goldilocks spends on mine 1 and y the number of days it spends on mine 2 to meet the requirements.

Then  

2x + y is the amount of gold found in both mines and

2x + 3y  is the amount of silver found in both mines

We have the constraints  

a) 2x + y≥ 12

b) 2x + 3y ≥ 18

and we want to minimize the total time spent to accomplish this goal. That is, we want to find x and y such that

x+y is minimum.

We then draw in the xy-plane the regions a) and b) and find the feasible region which is the intersection of both regions

The line 2x + y =12 (GREEN) has x-intersect x=6 and y-intersect y=12

The line 2x + 3y =18 (BLUE) has x-intersect x=9 and y-intersect y=6

The point P is the intersection (x,y) of the two lines, that is, the result of solving the linear system

2x + y = 12

2x + 3y = 18

The solution of this system can easily be found and gives us

P=(4.5, 3)

As the function z = x + y is linear, its minimum is attained in one of the vertices (0,12), (9,0) or (4.5,3).

A direct evaluation of z in each one this points, gives as a result that the minimum is reached in (4.5,3)

So, to minimize the time spent to achieve the goal, Goldilocks

must spend 4 days and a half in mine 1 and 3 days in mine 2.

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

step-by-step explanation:

step-by-step explanation:

your mom