a manufacture of brand A jeans has daily production costs of C =0.2x^2 -96x+12,095 where C is the total cost in dollars and x is the number of jeans produced. How many jeans should be produced each day in order to minimize costs? what is the minimum daily cost .
I do not know what level of math you are at.
If calculus then
dC/dx = 0 at min
= .4 x =96
so x = 240
If Algebra 2 level
then complete the square to find vertex
.2 x^2 - 96 x = -12095
x^2 - 480 x + 240^2 = - 60475
x^2 - 480 x + 240^2 = - 2875
(x-240)^2 = -2875
so
x = 240 and C = 2875 at min (vertex)
how to form a magic square using positive and negative numbers
A fisherman has estimated that it takes 4 minutes to paint each square foot of the hull of his boat.
How much time should the fisherman allow for the painting of the hull, if the hull were composed of two sides, each 28.5 feet by 10.50 feet?
Hint: Calculate the area of one side and multiply by 2 to get the total area of the hull of the boat
Your finance text book sold 47,500 copies in its first year. The publishing company expects the sales to grow at a rate of 17.0 percent for the next three years, and by 12.0 percent in the fourth year. Calculate the total number of copies that the publisher expects to sell in year 3 and 4. (If you solve this problem with algebra round intermediate calculations to 6 decimal places, in all cases round your final answers to the nearest whole number.)
To find the number of jeans that should be produced each day in order to minimize costs, we need to find the value of x that corresponds to the minimum point on the cost curve.
The cost function is given as C = 0.2x^2 - 96x + 12,095.
To find the minimum point, we can take the derivative of the cost function with respect to x and set it equal to zero.
dC/dx = 0
0.2(2x) - 96 = 0
0.4x - 96 = 0
0.4x = 96
x = 96 / 0.4
x = 240
Therefore, 240 jeans should be produced each day in order to minimize costs.
To find the minimum daily cost, substitute the value of x into the cost function:
C = 0.2(240^2) - 96(240) + 12,095
Solving this equation will give us the minimum daily cost.