Answer:
63 units
Step-by-step explanation:
The profit function P(x) is given by the revenue function minus the cost function:

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

The number of units that should be manufactured so that profit is maximum is 63 units.
step (1) 32+23*4 =124 step (2) 9+23*4= 101 step (3) 9+9*4=45 step 4 9+35=44
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
If two shapes are similar, this means the ratio of similar sides to each other are the same.
So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).
Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.
A decimeter is a tenth of a centimeter.
So, divide/multiply: 2 ÷ 0.1 = 20 <em>or</em> 2 × 10 = 20
So, the picnic bench is <em>20 decimeters long.</em>
Answer:
144.75in^2
Step-by-step explanation:
V=bh/3
so..
V=(18.4)(23.6)/3
V=434.24/3
V=144.74666
round to the nearest tent
V=144.75 inches