A stock of food is enough to fees 50 persons for 14 days. How many days will the foos last if 20 persons will be added?

Answer

2(7x + 3) - x

= 13x + 6

Explanation

2(7x + 3) - x

= 14x + 6 - x

= 14x - x + 6

= 13x + 6

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Answer:

Minimum value of function is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

Subject to constraints:

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering , corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

at A(0,9)

at B(3,9)

at C(3,6)

Minimum value of function is 63 occurs at point C (3,6).

Applying the method of corners to the linear programming problem yields a minimum value of 6 at the point (3, 0) for the given objective function and constraints.

The linear programming problem involves minimizing an objective function subject to certain constraints. The constraints are given as follows:

Minimize z = 2x + 3y

Subject to:

x ≤ 3

y ≤ 9

x + y ≥ 9

x ≥ 0

y ≥ 0

To find the minimum value, we employ the method of corners. The feasible region is determined by the intersection of the inequalities. The corner points of this region are where the constraints intersect.

Intersection of x ≤ 3 and y ≥ 0 gives the point (3, 0).

Intersection of y ≤ 9 and x ≥ 0 gives the point (0, 9).

Intersection of x + y ≥ 9 and y ≥ 0 gives the point (9, 0).

Now, evaluate the objective function z = 2x + 3y at each corner point:

z1 = 2(3) + 3(0) = 6

z2 = 2(0) + 3(9) = 27

z3 = 2(9) + 3(0) = 18

The minimum value occurs at point (3, 0) with z_min = 6.

For more such information on: linear programming

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Answer:

5/6

Explanation:

There are 6 half-hours between 9 and 12. You will be there for 5 of them. The probability you will be there is 5/6.

A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but  you have to leave at 11:30 to help out a friend. If the repair person is equally likely to be  at your apartment any time during the appointment time, what is the probability that you  will be there?

83.3%

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*100% CORRECT ANSWERS

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An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If a marble is drawn at random what are the ODDS of drawing a red marble?  

1:4

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A solider is parachute training. He jumps out of a plane high enough that the pilot determines the solider will land somewhere in an 240 foot radius land zone. The pilow forgot to mention to the solider that the parachute has very little maneuverablity (no  steering). and there are 30 trees in the landing zone. Each tree from the air practically outlines a circle with a radius of 8 feet. What is the geometric probability that the solider  will land in a tree?

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Question 5  

A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but  you have to leave at 11:30 to help out a friend. If the repair person is equally likely to be  at your apartment any time during the appointment time, what is the probability that you  will be there?

83.3%