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:
Scatter plot
Step-by-step explanation:
Using a scatter plot will allow the sales manager to show the data collected about the number of customers who enter the store and the dollar volume of sales for each day because the plot will have a dot to represent each day. The analyze of the pattern formed by the dots will show if there is a relation between the variables and what kind of relation is (systematic or causal). She can also add a regression line to find an explanation for the relation between the variables.
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
An exponent represents repeated multiplication. For example, ...
... x^3 = x·x·x
... x^2 = x·x
If we divide these, the x's in the denominator cancel an equal number in the numerator:
... (x·x·x)/(x·x) = x
If we represent the repeated multiplication using exponents, we can represent the cancellation by subtraction:
... (x^3)/(x^2) = x^(3-2) = x^1 = x
Once we have this idea in mind that division can be done by subtracting denominator exponents, we can use it regardless of the magnitude or sign of the exponents involved.
Answer:
-83
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Simplify the following:
7 - 1/2×12
(-1)/2×12 = (-12)/2:
7 + (-12)/2
12/2 = (2×6)/2 = 6:
7 - 6
21/3 = (3×7)/3 = 7:
7 - 6
7 - 6 = 1:
Answer: 1
