How many cases of pies should she sell in order to maximize profit?

Written by danielle p in Wednesday, April 16, 2008 under Mathematics
Comments: 1

Q: Laura owns a pie shop. She learned that her profits P(x), from the sales of x cases are given by P(x)=150x-x^2

How many cases of pie should she sell in order to maximize profit?

What is the maximum Profit?

A: Hi,

p(x) = 150x - x^2 this is a parabola opening downward since the coefficient of x^2 is -1.

ax^2 + bx + c is the general form ao a parabols so
here we have
a = -1
b = 150
Now to find the vertex (turning point) we us x = -b/2a so
x = -150/(2(-1)) hence x = 75.

Now to find how many pies we put x = 75 back into the equation giving us p(x) = 150*75 - (75)^2 = 11250 - 5625
= 5625 pies.

Comments: 1

mygif
fear_da_moo Said in Wednesday, April 16, 2008

75 for a profit of 5625

What do the cases for contacts look like in the different solution boxes?

Written by Jackie | Saturday, April 04, 2009

I use Opti-Free, which comes with a green and white case in every single box. Do other contact solutions come with cases? If so, what do they look like? Are they the same as what I described, or different?


A: the basic design of all the cases tends to be the same. the only thing they change is the colour, some are all white, some are white and blue, etc. the base tends to be white so you can see any dirt or debris in it easily and rinse it out. its usually the lids that are coloured. They may vary in size very slightly.

How do you keep pillow cases from sliding off the pillows?

Written by bbking48507 | Friday, January 11, 2008

Is there some neat little trick you have to keep the pillow cases from sliding off the pillows? I have four pillows and the cases are constantly sliding off!! The only thing I thought of was to use velcro on the insides of the end of the case but the velcro might come off when I wash them.


A: put one on and safety pin the open end, then put on your good pillow case over that one, should stay put.

How many test cases would you write to check if three given lengths?

Written by Ritesh P | Saturday, August 16, 2008

How many test cases would you write to check if three given lengths form a rt. Angled
isosceles triangle. Write all the test cases.


A: This is a simple problem. Here we have two test data values (since two sides of the triangle are the same length and the third side has to be a different length). Let us call them A and B. We can create a test case - for any given A and a different B, the expected result is 2*A^2 = B^2. You can then execute this test case with multiple values of A and B.

Hope this helps!

Inder P Singh