Heather is considering adding replacing $320$ acres of edible green peas with $320$ acres of red lenfils. On

their remaining $1280$ acres, they will seed $960$ acres to Canola and $320$ to Feed Barley. They use a

custom harvester to harvest all their acres. The rate for custom combining in their area is $$35$ per acre.

They want to use a parfial budget to see the financial impacts of this change. Below is a table of

historical and projected costs for the crops Heather has grown and harvested recently, along with

projected costs and expenses for.

Crop Per acre yield

$($Historical or

Expected$)$

Expected Price Per acre variable

costs

Per acre overhead

costs

Canola $42$ bu$.17\mathrm{.}50428230$

Feed Barley $70$ bu$.6\mathrm{.}15315230$

HRS Wheat $53$ bu$.10\mathrm{.}15360230$

Red Lenfils $1850$ lbs$.0\mathrm{.}33/$ lb$.242230$

Edible Green Peas $43$ bu$.13\mathrm{.}00290230$

Oats $79$ bu$.5\mathrm{.}19263230$

a$.$ Construct a parfial budget that outlines this proposed change.

b$.$ How does this change affect per acre profitability?

c$.$ Should Heather make this change? Why or why not?

d$.$ At what yield per acre of the new crop would Heather be indifferent between these choices?