The demand function for a certain commodity is given by p = 100e^-q/2. (p is the price per unit and q is the number of units.)
(a) at what price per unit will the quantity demanded equal 6 units? (round your answer to the nearest cent.)
(b) if the price is $2.99 per unit, how many units will be demanded, to the nearest unit?

(a) the price per units is $5.0

(b)the number of units demanded = 7

Step-by-step explanation:

The demand function is given by

(a) Now, we have to find the value of p when q = 6

Substitute q = 6 in the above equation

On simplifying, we get

Rounding to nearest cents, we have

Therefore, the price per units is $5.0

(b)

Now, we have to find q for p = $2.99

Divide both sides by 100

Take natural log both sides

On simplifying, we get

Therefore, the number of units demanded = 7

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step-by-step explanation:

5 + 8 +7 + 4 + 0 +1 = 25

step-by-step explanation: