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# Analyzing the given demand functions

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1. Using the following equation, what is the demand equation as a function of Ps if the price of other pastas (Po) is \$2, the individual's income (Y) in thousands is \$25, and tastes (Z) are represented by 20? What happens if the individual's income increases to \$30?

Qd= 500 - 10Ps + 5Po + 20Y +40Z

2. Given the regression estimate of the demand equation of

Qx = 1,000 - 3.3Px + 0.001Y

where Y is income, what is the change in demand if price rises by \$1, holding income constant? What is the percentage change in demand if price rises by \$1 from an initial price of Px = \$200 given Y = 10,000? What is the effect on demand of a \$1 increase in income, holding price constant?

3. Consider the estimate demand equation of

Qx = 1,000 -3.3Px -0.2Pz + 0.001Y
(3.5) (2.1) (0.5)

with t values in parenthesis, where Pz is the price of another good Z, and Y is income. Is good Z a substitute or a complement? Can we say confidently whether good X is a normal good or an inferior good?

https://brainmass.com/economics/regression/analyzing-the-given-demand-functions-426014

#### Solution Preview

1. Using the following equation, what is the demand equation as a function of Ps if the price of other pastas (Po) is \$2, the individual's income (Y) in thousands is \$25, and tastes (Z) are represented by 20? What happens if the individual's income increases to \$30?

Qd= 500 - 10Ps + 5Po + 20Y +40Z
Put Po=\$2, Y=\$25, Z=20
Qd=500-10Ps+5*2+20*25+40*20=1810-10Ps

In the first case, demand equation will be given by
Qd=1810-10Ps

Now let us assume that individual income rises to \$30 thousands. Then
Qd=500-10Ps+5*2+20*30+40*20=1910-10Ps
Demand equation will change to
Qd=1910-10Ps

Change in demand=(1910-10Ps)-(1810-10Ps)=100 ...

#### Solution Summary

Solutions study the variations in demand due to changes in income.

\$2.19