CPM Homework Help : GC Problem 6-8

Joey is in charge of selling cupcakes at the basketball games. The game is today at 5:00 p.m. At 3:00 p.m., Joey put some cupcakes into the oven and started working on his homework. He fell asleep and did not wake up until 3:55 p.m. What do you think happened?

Joey knows that the following four statements are facts:

If the cupcakes are burned, then the fans that attend the varsity basketball games will not buy them.
If cupcakes are in the oven for more than $50$ minutes, they will burn.
If the fans do not buy the cupcakes, then the team will not have enough money for new uniforms next year.
The cupcakes are in the oven from 3:00 p.m. to 3:55 p.m.

Copy the flowchart below and decide how to organize the facts into the ovals. You will need to fill in one of the ovals with your own logical conclusion. Be sure that your ovals are in the correct order and that the arrows really show connections between the ovals. What conclusion should your flowchart make?

$\enclose{circle}{\\ \; \\ \; \text{1a} \qquad \qquad \\}$

$\enclose{circle}{\\ \; \\ \; \text{1b} \qquad \qquad \\}$

$\huge \searrow$

$\huge \swarrow$ Bubbles 1 a and 1 b have arrows pointing down to bubble 2.

$\enclose{circle}{\\ \; \\ \; \text{2} \qquad \qquad \\}$

$\huge \downarrow$ Bubble 2 has an arrow pointing down to bubble 3.

$\enclose{circle}{\\ \; \\ \; \text{3} \qquad \qquad \\}$

$\huge \downarrow$ Bubble 3 has an arrow pointing down to bubble 4.

$\enclose{circle}{\\ \; \\ \; \text{4} \qquad \qquad \\}$

Answer:

$\enclose{circle}{\; \\ \qquad \ \text{1a} \;\; \text{ If the cupcakes are in} \ \ \\ \qquad \text{ the oven for more than 50 minutes} \\ \qquad \text{ they will burn.} \qquad \\}$	$\enclose{circle}{\; \\ \qquad \ \text{1b} \;\; \text{ The cupcakes are in} \qquad \ \ \\ \qquad \text{ the oven from 3:00 pm} \\ \qquad \text{ to 3:55 pm.} \qquad \\}$
$\huge \searrow$	$\huge \swarrow$ Bubbles 1 a and 1 b have arrows pointing down to bubble 2.
$\enclose{circle}{\; \\ \qquad \text{2 The cupcakes are burned.} \qquad \\}$
$\huge \downarrow$ Bubble 2 has an arrow pointing down to bubble 3.
$\enclose{circle}{\; \\ \qquad \ \text{3} \;\; \text{ The fans will not buy} \qquad \ \ \\ \qquad \text{ the cupcakes because} \\ \qquad \text{ they are burned.} \qquad \\}$
$\huge \downarrow$ Bubble 3 has an arrow pointing down to bubble 4.
$\enclose{circle}{\; \\ \qquad \ \text{4} \;\; \text{ The team will not} \qquad \ \ \\ \qquad \text{ have enough money } \\ \qquad \text{ for uniforms.} \qquad \\}$