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Nataliya [291]
3 years ago
11

The supply equation for an olive oil press is

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

12 units

Step-by-step explanation:

The given function is

S(q) = 5q^2 + 1000q + 100

where, S(q) is the price in dollars at which q units are supplied.

We need to find the quantity supplied in a month when the company sets the price of its olive oil press at $12,820.

Substitute S(q)=12820 in the given function.

12820 = 5q^2 + 1000q + 100

Subtract both sides by 12820.

0= 5q^2 + 1000q - 12720

Taking out GCF.

0= 5(q^2 + 200q - 2544)

Now solve the equation for q by splitting the middle term.

0= 5(q^2 + 212q-12q - 2544)

0= 5(q(q + 212)-12(q + 212))

0= 5(q + 212)(q-12)

Using zero product property we get

q + 212=0\Rightarrow q=-212

q-12=0\Rightarrow q=12

q is number of units. So the value of q can not be negative.

Therefore the quantity supplied in a month when the company sets the price of its olive oil press at $12,820 is 12 units.

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