Please help!!!
Answer:
The minimum value of C is 20
Step-by-step explanation:
Sketch the constraints, that is sketch
2x + 3y = 24
with intercepts (0, 8 ) and (12, 0 )
4x + y = 38
with intercepts (0, 38 ) and (9.5, 0 )
The solutions lie above both lines
Solve 2x + 3y = 24 and 4x + y = 38 simultaneously to find point of intersection at (9, 2 )
The vertices of the feasible region are at
(0, 38), (9, 2) and (12, 0)
Evaluate the objective function for each of these vertices
C = 2(0) + 38 = 0 + 38 = 38
C = 2(9) + 2 = 18 + 2 = 20
C = 2(12) + 0 = 24 + 0 = 24
The minimum value of C is 20 when x = 9 and y = 2
Answer:
1). (x² + 5) and (x + 4)
2). (x²- 3) and (x + 11)
Step-by-step explanation:
We have to determine the factors of the given expression (x³ + 4x² + 5x + 20) by grouping method.
x³ + 4x² + 5x + 20
= x²(x + 4) + 5(x + 4)
= (x² + 5)(x + 4)
Therefore, factors of the given expression are (x² + 5) and (x + 4).
Second expression is (x³ + 11x² - 3x - 33)
Now we will find the factors of this expression by grouping.
x³ + 11x² - 3x - 33
= x²(x + 11) - 3(x + 11)
= (x² - 3)(x + 11)
Therefore, the factors of the given expression are (x² - 3) and (x + 11).
Answer:
B x^2(x+4)+5(x+4)
Step-by-step explanation:
Edge2021
39,28,33,36,25, -----
Let m represent the number of months and c represent the total number of cars sent
to New York.
Answer:
c = 21m
Step-by-step explanation:
In m months,
36m cars will be manufactured
And 15m will be sent overseas
c = (36 - 15)m
c = 21m