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olga55 [171]
3 years ago
9

True or False: Zero is a neutral integer. It can be either positive or negative.

Mathematics
2 answers:
anyanavicka [17]3 years ago
7 0
False, but it is still an integer.
dybincka [34]3 years ago
6 0
No. but zero is an integer
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Answer:

1) The demand equation is x=-0.25p+300

2) The price when no consumers willing to buy this commodity is $1200.

3) The quantity of the commodity would consumers take if it was free is 300 pounds.

Step-by-step explanation:

Given : At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the quantity demanded decreases by 14 pounds.

To find :

1) The demand equation ?

2) At what price are no consumers willing to buy this commodity?

3) According to the above model, how many pounds of this commodity would consumers take if it was free?

Solution :

1) According to question,

p is the unit price and x is the quantity demanded for this commodity in pounds.

Let, p_1=\$900 and  x_1=75\text{ pounds}

and p_2=\$956 and  x_2=75-14=61\text{ pounds}

To find the demand equation we apply two point slope form,

(x - x_1)=\frac{(x_2-x_1)}{(p_2-p_1)}\times(p-p_1)

Substitute the values,

(x - 75)=\frac{61-75}{956-900}\times(p-900)

(x - 75)=\frac{-14}{56}\times(p-900)

(x - 75)=\frac{-1}{4}\times(p-900)

x-75=-\frac{1}{4}p+225

x=-\frac{1}{4}p+300

x=-0.25p+300

The demand equation is x=-0.25p+300

2) For no consumers,

Substitute x=0 in demand equation,

0=-0.25p+300

0.25p=300

p=\frac{300}{0.25}

p=1200

The price when no consumers willing to buy this commodity is $1200.

3)  For free,

Substitute p=0 in demand equation,

x=-0.25(0)+300

x=300

The quantity of the commodity would consumers take if it was free is 300 pounds.

3 0
3 years ago
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