The Pear company sells pPhones. The cost to manufacture x pPhones is C ( x ) = - 21 x² + 67000 x + 20006 dollars (this includes overhead costs and production costs for each pPhone). If the company sells x pPhones for the maximum price they can fetch, the revenue function will be R ( x ) = - 28 x² + 179000 x dollars.
How many pPhones should the pear company produce and sell to maximize profit? (remember that profit = revenue - cost)

Company should produce 8000 phones for the maximum profit.

Step-by-step explanation:

Function representing cost to the manufacturer is,

C(x) = -21x²+ 67000x + 20006

Function that represents the revenue generated is,

R(x) = -28x² + 179000x

Function representing profit to the company,

Profit = Revenue generated - Cost price

         = -28x² + 179000x - (- 21x² + 67000x + 20006)

         = -28x² + 21x² + 179000x - 67000x - 20006

 P(x)  = -7x² + 112000x - 20006

Since this function is a quadratic function therefore, the maximum price generated will be for

From the given quadratic function, a = (-7), b = 112000 and c = -20006

Therefore, for

Or x = 8000 the profit to the company will be maximum.

That means pear company should produce 8000 phones for the maximum profit.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

are you an artist's daughter? cuz dang you a fine piece of art, girl.