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By "slope" I assume you mean slope of the tangent line to the parabola.
For any given value of <em>x</em>, the slope of the tangent to the parabola is equal to the derivative of <em>y</em> :
The slope at <em>x</em> = 1 is 5:
The slope at <em>x</em> = -1 is -11:
We can already solve for <em>a</em> and <em>b</em> :
Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when <em>x</em> = 2:
So the parabola has equation
Answer:
a) $4110
Step-by-step explanation:
Let x represent number of rain coats and C(x) represent total cost to produce new line of rain coats.
We have been given that the fixed costs of $570 to set up for production, and variable costs of $30 per jacket.
The cost of x jackets would be .
The total cost of x jackets would be variable cost of x jackets plus fixed costs that is $570.
Therefore, the total cost of producing x rain coats would be .
To find the total cost of producing 118 rain coats, we will substitute in the above equation as:
Therefore, the total cost of producing 118 rain coats is $4110 and option 'a' is the correct choice.