Mountain mack and big lake bob spend their time carving fishing lures and duck decoys. the table below shows their production possibilities schedules, which describe various combinations of fishing lures and duck decoys they each can carve efficiently in a week. production possibilities schedules mountain mack big lake bob fishing lures duck decoys fishing lures duck decoys 40 0 100 0 32 10 80 6 24 20 60 12 16 30 40 18 8 40 20 24 0 50 0 30
a. if mountain mack splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve? 40 fishing lures and 50 duck decoys 8 fishing lures and 10 duck decoys 20 fishing lures and 25 duck decoys 24 fishing lures and 20 duck decoys
b. if big lake bob splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve? 60 fishing lures and 12 duck decoys 100 fishing lures and 30 duck decoys 50 fishing lures and 15 duck decoys 20 fishing lures and 6 duck decoys
c. combined, how many fishing lures and duck decoys could mountain mack and big lake bob carve if each one split his week between the two products? 28 fishing lures and 16 duck decoys 84 fishing lures and 32 duck decoys 140 fishing lures and 80 duck decoys 70 fishing lures and 40 duck decoys
d. has the comparative advantage in carving fishing lures and has the comparative advantage in carving duck decoys.
e. if both mountain mack and big lake bob choose to specialize in the product in which he has a comparative advantage, how many of each product could they produce together? 100 fishing lures and 50 duck decoys 140 fishing lures and 80 duck decoys 84 fishing lures and 32 duck decoys 40 fishing lures and 30 duck decoys

Respuesta :

Given the question:

Mountain Mark and Big Lake Bob spend their time carving fishing lures and duck decoys. The table below shows their production possibility schedule, which describes various combinations of fishing lures and duck decoys they each can carve efficiently in a week.

[tex]\begin{center} \begin{tabular} {|c {2.3cm}|c {2.3cm}|c {2.3cm}|c {2.3cm}|} \multicolumn {4} {|c|} {Production Possibility Schedules}\\[1ex] \multicolumn {2} {|c|} {Mountain Mark}&\multicolumn {2} {|c|} {Big Lake Bob}\\[1ex] Fishing Lures&Duck Decoys&Fishing Lures&Duck Decoys\\[1ex] 40&0&100&0\\ 32&10&80&6\\ 24&20&60&12\\ 16&30&40&18\\ 8&40&20&24\\ 0&50&0&30 \end{tabular} \end{center}[/tex]

Part A:

If mountain mack splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve?

From the table it can be seen that in a full week, if mountain mack is carving fishing lures only, he can carve 40 fishing lures. This means that in half of a week, he can carve 20 fishing lures.

Similarly, f
rom the table it can be seen that in a full week, if mountain mack is carving duck decoys only, he can carve 50 duck decoys. This means that in half of a week, he can carve 25 duck decoys.

Therefore, if mountain mack splits his week evenly between carving fishing lures and duck decoys, the maximum number of fishing lures and duck decoys he could carve are 20 fishing lures and 25 duck decoys.



Part B:

If big lake bob splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve?

From the table it can be seen that in a full week, if big lake bob is carving fishing lures only, he can carve 100 fishing lures. This means that in half of a week, he can carve 50 fishing lures.

Similarly, f
rom the table it can be seen that in a full week, if big lake bob is carving duck decoys only, he can carve 30 duck decoys. This means that in half of a week, he can carve 15 duck decoys.

Therefore, if big lake bob splits his week evenly between carving fishing lures and duck decoys, the maximum number of fishing lures and duck decoys he could carve are 50 fishing lures and 15 duck decoys.



Part C:

Combined, how many fishing lures and duck decoys could mountain mack and big lake bob carve if each one split his week between the two products?

Obtained that
if mountain mack splits his week evenly between carving fishing lures and duck decoys, the maximum number of fishing lures and duck decoys he could carve are 20 fishing lures and 25 duck decoys and that if big lake bob splits his week evenly between carving fishing lures and duck decoys, the maximum number of fishing lures and duck decoys he could carve are 50 fishing lures and 15 duck decoys.

Thus, combined,
mountain mack and big lake bob can carve 20 + 50 = 70 fishing lures and 25 + 15 = 40 duck decoys if each one split his week between the two products.

Therefore, mountain mack and big lake bob can carve 70 fishing lures and 40 duck decoys if each one split his week between the two products.



Part D:

From the table it can be seen that Mountain mack can produce the greatest number of duck decoys when both produce only duck decoys and big lake bob can produce the greatest number of fishing lures when both produce only fishing lures.

Therefore, Big lake bob has the comparative advantage in carving fishing lures and Mountain mack has the comparative advantage in carving duck decoys.



Part E:

Obtained that Mountain mack has the comparative advantage of carving duck decoys, from the table, if Mountain mack produces only duck decoys, he can produce 50 duck decoys.

Also, obtained
that Bib lake bob has the comparative advantage of carving fishing lures, from the table, if Big lake bob produces only fishing lures, he can produce 100 fishing lures.

Therefore,
if both mountain mack and big lake bob choose to specialize in the product in which he has a comparative advantage, they can produce 100 fishing lures and 50 duck decoys