Graph the feasible region
find the corner points
evaluate the objective
To transform a mixed number to an improper fraction, we must multiply the denominator by the large number, and add the numerator.
So for
: 
But we also put this over the denominator in the mixed number, so we get:
.
Then we do the same for
:

Then we must find a common denominator. Let's use 21 (multiply 3 and 7):


Now that we have a common denominator, we can subtract across:

Since
cannot be reduced any further, we are going to leave this as our answer.
So the answer is
.
Answer:
ft if
Step-by-step explanation:
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Answer:
Area of shaded region = 422 cm²
Step-by-step explanation:
Area of rectangle = length × breadth
= 3cm × 10cm
= 30cm²
Area of circle = πr²
= 3.14 × 12²
= 3.14 × 12cm × 12cm
= 452.16 cm²
Area of shaded region = Area of circle - Area of rectangle
= (452.16 - 30) cm²
= 422 cm²
Answer:
Equation is
and when y=2 and z=4, x will be 4.
Step-by-step explanation:
Given:
x varies jointly with y and z.
It also means x is directly proportional to y and z.

From above values we can compute the equation as.

Hence the Equation is 
Now y=2 and z=4 we get.

Hence when y=2 and z=4, x will be 4.