You don’t say what level you’re working at, which is important., introductory undergraduate seems likely.
You’d probably be best off re-arranging the two equations to reflect the fact that you’ll have p on your y axis & q on your x axis, i.e.: D: p=100-(d/2); S: p=(s/2)-20.
The two lines intersect at p=45; q=110.
It’s no problem that the supply curve doesn’t go through the origin/that it cuts the y axis at -20.
Your question about producer surplus is quite interesting. Although the equations clearly don’t state this, my gut feel is that both S & D curves are indeterminate at negative price [and indeed negative quantity] & that as such you should only count the trapezoid bordered by the x & y axis, p, and the supply curve.
You’d probably be best off re-arranging the two equations to reflect the fact that you’ll have p on your y axis & q on your x axis, i.e.: D: p=100-(d/2); S: p=(s/2)-20.
The two lines intersect at p=45; q=110.
It’s no problem that the supply curve doesn’t go through the origin/that it cuts the y axis at -20.
Your question about producer surplus is quite interesting. Although the equations clearly don’t state this, my gut feel is that both S & D curves are indeterminate at negative price [and indeed negative quantity] & that as such you should only count the trapezoid bordered by the x & y axis, p, and the supply curve.
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