Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.
Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;
2s + r = 30 ------(1)
Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;
s + 2r = 40 ------(2)
With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;
In equation (1), let r = 30 - 2s
Substitute for r into equation (2)
s + 2(30 - 2s) = 40
s + 60 - 4s = 40
Collect like terms,
s - 4s = 40 - 60
-3s = -20
Divide both sides of the equation by -3
s = 6.67
(Rounded up to the nearest whole number, s = 7)
Substitute for the value of s into equation (1)
2s + r = 30
2(7) + r = 30
14 + r = 30
Subtract 14 from both sides of the equation
r = 16
Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.
Answer:
240 m
Step-by-step explanation:
The area of a square field is 3600 m².
We need to find the length of fencing he needs to buy. It means we need to find the perimeter of the field.
The area of a square field is given by :
A = side²
So,
Length of fencing = perimeter
= 4(s)
= 4(60)
= 240 m
So, he would need to buy 240 m of fencing.
Given that, Joe travels 68 mi in 4 hours, the number of miles Joe will travel in 45 minutes is 12.75.
<h3>How many miles did joe travel in 45 minutes?</h3>
Given that;
- Joe travels 68 miles in 4 hours
- joe travel x miles in 45 minutes
First, we convert 4 hours to minutes: 4 × 60 = 240 minutes
Now,
Joe travels 68 miles in 240 minutes
Joe will travel x miles in 45 minutes
We have;
x × 240 = 68 × 45
x × 240 = 3060
x = 3060 / 240
x = 12.75 miles.
Given that, Joe travels 68 mi in 4 hours, the number of miles Joe will travel in 45 minutes is 12.75.
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Answer:
the sales tax is $73.54
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It is the only answer where the negative signs do not even out on both sides of the equation.
