Answer:
The required solution is and
.
Step-by-step explanation:
Given equations are
-x+6y = -2.......(1)
.......(2)
First we have to equate the coefficient of y or x. Here we equate the coefficient of y . So equation (2) multiply by 6.
Then the equation (2) becomes
........(3)
Since the signs of y are is opposite, so we adding (1) and (2).
Putting the value of equation (1)
The required solution is and
We have two products: a two-slice toaster and a four-slice toaster.
Lets call T the number of two-slice toasters produced and F the number of four-slice toasters produced.
If we have 300 hours per week of labor, the sum of the labor required for T and F has to be lower or equal to that value.
The labor hours that take to make the two-slice toasters can be written as 6*T, as it is the product of the hours per unit (6 hours/unit) by the number of units (T units).
The same can be done for F, where the labor required can be expressed as 10*T.
If we add these terms, and make them be less or equal than 300, we get:
The production capacity is 40 units, so the sum of T and F has to be less or equal than 40.
We can express this as:
Answer:
The system of inequalities for this problem becomes:
6T+10F<=300
T+F<=40