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.
Step-by-step explanation: use a histograph
Answer:
n = -5/13
Step-by-step explanation:
-8+4(1+5n)=-6n-14 (from PEDMAS, expand parenthesis first)
-8+1(4) +5n(4)=-6n-14
-8+4 +20n=-6n-14
-4 + 20n = -6n -14 (add 6n to both sides)
-4 + 20n + 6n = -14
-4 + 26n = -14 (add 4 to both sides)
26n = -14 + 4
26n = -10 (divide both sides by 26)
n = -10/26 = -5/13
