Can someone help me with this Calculus? Thanks! Don't forget to show your work :)
1 answer:
Answer:
$12.50
Step-by-step explanation:
Since the cost is $5, at a selling price of x, the profit on each pair is (x -5). The profit for the day is the profit on each pair multiplied by the number sold:
profit = (x -5)·100(20 -x)
This is the expression for a quadratic function that has zeros at x=5 and x=20 and that opens downward (the leading coefficient is -100). The vertex (maximum) is found on the axis of symmetry, halfway between the zeros. The value of x there is ...
(5 + 20)/2 = 12.5
The manufacturer should sell the sunglasses at $12.50 apiece to maximize profit.
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The answer is 248. Working out is in the picture.
Let;
A(-8,6) B(6,6) C(6, -4) D(-8, -4)
Let's find the length AB
x₁= -8 y₁=6 x₂=6 y₂=6
We will use the distance formula;
Next, we will find the width BC
B(6,6) C(6, -4)
x₁= 6 y₁=6 x₂=6 y₂=-4
substitute into the distance formula;
Area = l x w
= 14 x 10
= 140 square units
