A farmer has $70$ acres on which to plant a pear orchard. three neighboring farms with similar soil conditions already established orchards. one of these orchards has $250$ tress planted per acre yielding, on average, $525$ pears per tree. Another $280$ trees per acre, yielding $480$ pears per tree, while the third with $350$ tress per acre yields only $375$ pears pear tree.
Based on the data, derive equations for both the yield per tree and the yield per acre as functions of $x$, the tree density(trees/acre). What density of planting is expected to yield no pears? What density does your model suggest will produce the maximum yield per acre.
The average weight of a pear is approximately $1/2$-pound. Using appropriate transformation write an equation expressing the total yield from the farmer's $70$ acres, measured in tons(rather than pears), as a function of the number of tress per acre( NOTE: $1$ u.s ton=$2,000$ pounds).
the equation i got for the first part is. y= -1.5x+900
when the density of planting is 600 it is expected to yield no pears