Leslie is a costume designer for the local children's theater company. Yesterday, she sewed 3 female costumes and 4 male costume
s, which used 73 meters of fabric. Today, she sewed 4 female costumes and 2 male costumes, which used a total of 74 meters. How many meters of fabric does each type of costume require?
Each female costume requires ________ meters of fabric, and every male costume requires _____ meters.
Each female costume requires ________ meters of fabric, and every male costume requires _____ meters.
1 answer:
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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).
Answer:
It will take 6.118 minutes to fill up the pool to a depth of 20 cm
Step-by-step explanation:
The first step is to calculate the volume of the wading pool.
we will assume it is a cylinder, hence the volume will be =
<em>Where r= radius of the pool = 115/2 = 57.5cm</em>
<em>h = depth of the pool =20 cm</em>
The volume of the pool will be
We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.
To get the time it will take to fill up the pool, we will have to divide as follows:
208,000cm ^{3} / 34000cm^3 =6.118 minutes
Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm