Which expression does the model represent?
2 answers:
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Answer:
Minimum value of is 80 at (1.5,2.5)
Step-by-step explanation:
We are given
The objective function is, Minimize
With the constraints as,
So, upon plotting the constraints, we see that,
The boundary points of the solution region are,
(1,5), (1.5,2.5) and (4,2).
So, the minimum values at these points are,
Points
(1,5) i.e. p = 140
(1.5,2.5) i.e. p= 80
(4,2) i.e. p = 92
Thus, the minimum value of is 80 at (1.5,2.5).
Answer:
Yes, we have enough money to pay for the groceries.
Step-by-step explanation:
We are given that Groceries cost $75. The tax rate is 5%.
We have to check that will the amount of $80 enough to pay for the groceries or not.
<em>For this we will firstly calculate the total cost of groceries after applying tax rate of 5% on groceries. </em>
Cost of groceries after applying tax rate is given by;
Since we know that by applying a tax on any item it's cost gets increased.
So, <u>Cost of groceries after tax</u> = Cost of groceries before tax + Amount of tax
Amount of tax = Tax rate Cost of groceries
= 5% $75
= = $3.75
So, Cost of groceries after tax = $75 + $3.75 = $78.75
Since we have an amount of $80 with us which means that we are able to buy the groceries after giving tax on it as $78.75 < $80.
Therefore, yes we have enough money to pay for the groceries.
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