Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions and , which restricts the solution to be in the positive quadrant. Then we plot the first restriction shown in purple, then we can plot the second one shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
28)
330.0076
29)
V = l X w X h
V = 12 X 20 X 14
12 X 7 = 84
84 X 2 = 168
168 X 20 = 3360
The volume of the cooler is 3,360 in³
Answer:
42x -27
Step-by-step explanation:
we apply distributive property:
7(6x – 4) + 1
7*6x - 7*4 +1
42x - 28 +1
42x -27
Answer: the cost of an adult ticket is $9.
The cost of a child's ticket is $13
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one student ticket.
On the first day of ticket sales, the school sold two adult tickets and three students tickets for a total of $57. It means that
2x + 3y = 57- - - - - - - - - -1
The school took and $70 on the second day by selling two adult tickets and four student tickets. It means that
2x + 4y = 70- - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- y = - 13
y = 13
Substituting y = 13 into equation 1, it becomes
2x + 3 × 13 = 57
2x + 39 = 57
2x = 57 - 39 = 18
x = 18/2
x = 9
5,900 to the nearest thousand is 6,000