Okay seems like you need to find the numbers that are greater than 51
so it says solution set
x + 16 > 51
plug some numbers
so
45 + 16 > 51
61 > 51
so keep adding numbers to find a solution that is bigger than 51
Answer:
$180000
Step-by-step explanation:
Let's c be the number of chair and d be the number of desks.
The constraint functions:
- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c
- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c
c >= 0
d >= 0
The objective function is to maximize the profit function
P (c,d) = 400d + 250c
We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis) and find the intersection point 0.5c = 500 - 0.75c
1.25c = 500
c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000
The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500
So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000
Answer:
New cars sold = 20,
Used cars sold = 25
Cars serviced = 290
Step-by-step explanation:
In a month they sold fifteen less used cars than twice the number of new cars.
Lets say 'x' number of new cars were sold, then:
The number of used car sold is:

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

Solving for 'x' we get:




Therefore, the number of new cars sold in that month is 20.
Number of used car sold 
Number of cars serviced 
We can also cross check by summing them up:

To get the result we can use knowledge that reading is 2 times longer than HW.
To find this value we just have to multiply 42 times 2 so
40*2=80
Its 1 hour and 20 min - its the result
Answer:
a=4
Step-by-step explanation:
60=a(0+5)(0+3)
We can simplify this equation
60 = a (5) (3)
60 = a(15)
Divide each side by 15
60/15 = 15a/15
4 =a