part 1 (1 point) thomas and denis each sell bespoke (custom - made) jackets and trousers. thomas could make…

part 1 (1 point) thomas and denis each sell bespoke (custom - made) jackets and trousers. thomas could make up to 12 jackets in a month if he made nothing but jackets, or he could make 30 pairs of trousers in a month if he concentrated exclusively on trousers. denis, for his part, could make either 10 jackets or 16 pairs of trousers in a month if he focused exclusively on either one. in the graph below, use the straight - line tool to draw the two production possibilities frontiers on the same set of axes. to refer to the graphing tutorial for this question type, please click here.

part 1 (1 point) thomas and denis each sell bespoke (custom - made) jackets and trousers. thomas could make up to 12 jackets in a month if he made nothing but jackets, or he could make 30 pairs of trousers in a month if he concentrated exclusively on trousers. denis, for his part, could make either 10 jackets or 16 pairs of trousers in a month if he focused exclusively on either one. in the graph below, use the straight - line tool to draw the two production possibilities frontiers on the same set of axes. to refer to the graphing tutorial for this question type, please click here.

Answer

Explanation:

Step1: Determine Thomas's PPF equation

Let $x$ be the number of jackets and $y$ be the number of trousers. If Thomas makes only jackets, $x = 12$ and $y=0$; if only trousers, $x = 0$ and $y = 30$. The slope of his PPF is $m_1=-\frac{30}{12}=-\frac{5}{2}$. Using the intercept - form $y=mx + b$ (where $b = 30$), the equation of Thomas's PPF is $y=30-\frac{5}{2}x$.

Step2: Determine Denis's PPF equation

For Denis, when $x = 10$, $y = 0$ and when $x=0$, $y = 16$. The slope of his PPF is $m_2=-\frac{16}{10}=-\frac{8}{5}$. Using the intercept - form $y=mx + b$ (where $b = 16$), the equation of Denis's PPF is $y=16-\frac{8}{5}x$.

Step3: Graph the PPFs

To graph Thomas's PPF:

  • The $y$ - intercept is 30 (the point $(0,30)$) and the $x$ - intercept is 12 (the point $(12,0)$). Connect these two points with a straight - line. To graph Denis's PPF:
  • The $y$ - intercept is 16 (the point $(0,16)$) and the $x$ - intercept is 10 (the point $(10,0)$). Connect these two points with a straight - line.

Since this is a graphing problem and I can't actually draw the graph here, the steps above describe how to draw Thomas's and Denis's production possibilities frontiers on the same set of axes.

Answer:

Follow the steps above to draw Thomas's PPF with $x$ - intercept 12 and $y$ - intercept 30 and Denis's PPF with $x$ - intercept 10 and $y$ - intercept 16 using a straight - line tool on the given graph.