A manufacturer of lighting fixtures has daily production costs of where C is the total cost (in dollars) and X is the number of units produced. How many fixtures should be produced each day to yield a minimum cost?
Equation the function in quadratic form,
The function has a minimum when since . To produce a minimum cost, determine the quantity of fixtures that must be manufactured per day. Let and
The manufacturer should produced 20 lighting fixtures daily to yield a minimum cost.
To yield a minimum cost, the number of fixtures that should be produced daily is . We are aware that and
Let's calculate that x's value:
We changed a to 0.25 and b to -10.
There should be 20 fixtures produced each day.
The total cost is given by:
Find the value of x that will give the minimum y.
Notice that the equation is that of a parabola that opens upward. So if you can find the vertex of this parabola, you will have found the minimum. The x-coordinate of the vertex of a parabola can be found by:
the general form for the quadratic equation.
In your problem,
So 20 fixtures should be produced each day to yield a minimum cost.
If you wanted to find this minimum cost, you would simply substitute x=20 into the original equation and solve for y.
Which operation could we perform in order to find the number of milliseconds in a year??
Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas
Is the number 7356 divisible by 12? Also find the remainder.
What is a positive integer?
Determine the value of k if the remainder is 3 given
Is a prime number?
What is the square root of ?
Is the sum of two prime numbers is always even?
149600000000 is equal to
Find the value of to the base ?
What is the square root of 3 divided by 2 .
write as an equivalent expression using a fractional exponent.
What is the square root of