Your furniture store sells two types of dining room tables. the first, type a, costs $210 and you make a $21 profit on each one. the second, type b, costs $180 and you make a $20 profit on each one. you can order no more than 130 tables this month, and you need to make at least $2640 profit on them. if you must order at least one of each type of table, how many of each type of table should you order if you want to minimize your cost? need to know answer and how to graph answer

Answer

In order to minimize total cost sell A type 40 numbers and B type 90 numbers

Solution

furniture store sells two types of dining room tables.  

The first, type A, costs $210 and you make a $21 profit on each one.  

The second, type B, costs $180 and you make a $20 profit on each one.  

We can order no more than 130 tables this month, and you need to make at least $2640 profit on them.

Let x be the number table  Type A sold, type B sold = 130-x

To find the value of x

21x +(130-x)20=2640

solving we get x=40

There are two possibilities

1)

A type sold =40 B type sold = 130 - 40 =90

total cost = 40 x 210 +  90 x 180 = 24600

2)

A type sold =90 B type sold = 130 - 90 =40

total cost = (90 x 210) + (40x180)=26100

In order to minimize total cost, choose first possibility

sell A type 40 numbers and B type 90 numbers

Maximum height = 500 feet

Land after = 20 seconds

Step-by-step explanation:

Let us follow the movement of the ball as it is thrown upwards.  We notice that we get to a point, where the change in the height of the ball with respect to time becomes = 0. This means that the ball is at its maximum position.

Hence, mathematically, at maximum height,

Recall,

From our problem, we can also deduce that at the maximum height, the velocity of the ball is = 0. i.e

hence,

The time the ball takes to reach a maximum height is 10 seconds.

The next step will be to substitute this time value into the equation for the height.

The maximum height is 500 feet

The object will land after t X 2 seconds = 10 X 2 = 20 seconds. This is because it will have to go up and come back down. This should take twice the time.