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:
15x +10y
Step-by-step explanation:
Just multiply 5x and 2y times 5 and don't combine them since they are different terms.
Answer:
40
Step-by-step explanation:
X(amount of people)
Y(Total amount made)
Y/X=40
Chad plus his other 5 friends makes 6 people.
Y/6=40
*6 *6
Y=240
The money would be split evenly.
Z(Amount each person needs to make)
240/60=Z
40=Z
They each need to make 40, which makes sense because they would be earning the amount they make.
Answer:
180 dollars
Step-by-step explanation:
.6 = 60%
multiply = "of"= ()
.6 (300) = 180
