Question

Sarkis, being something of a clotheshorse, has set himself an annual budget of $200 for neckwear. Given that bow ties cost $25 each while neckties cost $20 each (yes, even though bow ties use less fabric), draw Sarkis's budget constraint line for neckwear. Start by using the point tool to plot the two endpoints and then use the straight-line tool to draw the line.

Answer 1

Answer:

attached can be found the plot

Explanation:

denoting cB as the costs of bow ties ,cN as the bows of Neckties , x as the quantity of bow ties , y as the quantity of neckties and M as the budget , then

cB * x + cN * y = B

that is the equation of a line that intersects the x axis at

cB * x + cN * 0 = B  → x inters = B/cB = $200 / $25/bowtie = 8 bowties

for the y axis

cB * 0 + cN * 0 = B  → y inters = B/cN = $200 / $20/necktie= 10 neckties

also attached can be seen the plot of bow ties in the x axis and neckties in the y axis