You ask the production team to make some candles for the sale. The team is not sure how many they can produce in your short time frame, so they ask for an acceptable range for how many of each candle they should make.
Use your costs and recommended retail prices to write feasible region model to show the executives possible profits for selling certain numbers of each type of candle during this promotion. Decide on the constraints for the numbers of candles made for the sale and explain your reasoning for these constraints. Graph the feasible region and find maximum and minimum profits.

Question

You ask the production team to make some candles for the sale. The team is not sure how many they can produce in your short time frame, so they ask for an acceptable range for how many of each candle they should make. 
Use your costs and recommended retail prices to write feasible region model to show the executives possible profits for selling certain numbers of each type of candle during this promotion. Decide on the constraints for the numbers of candles made for the sale and explain your reasoning for these constraints. Graph the feasible region and find maximum and minimum profits.

maddy1251 · Answer

I am posting my info that I have.

maddy1251 · Answer

Info we know: ¾ of a penny per cubic centimeter
Volume of Egyptian:  252cm ³
Volume of Brick: 180cm ³

Egyptian: Let’s calculate the estimated cost of an Egyptian candle. Let’s take the Volume of 252 and times it by 0.0075, this will give us an answer of 1.89.  With our 1.89 we will add the 1.60 to it, to get 3.49. So, the bare minimum of each candle is $3.49. However, we need a profit margin, and I pick the profit margin to be $5.69, so we will take $3.49+$5.69=$9.18. The price of the Egyptian candle remodeled will be $9.18.
Brick: Now let’s calculate the estimated cost of the Brick candle. Let’s take the Volume of 180 and times it by 0.0075, this will give us an answer of 1.35. With out 1.35 we will add the 1.60 to it, to get 2.95. So, the bare minimum cost of each candle is $2.95.  However, we need a profit margin, and I pick the profit margin to be $5.69, so we will take $2.95+5.69=$8.64. The price of the Brick candle remodeled will be $8.64

Looking at the prices, they seem rather reasonable when compared to other retail companies such as Yankee Candles, who sell some of their candles for $14.00-$21.00+ per candle, so these are very reasonable and with the low price, and a steady production, more will sell for higher profit.

maddy1251 · Answer

I just need help to get started on the graph. What equation can I use?

maddy1251 · Answer

@Data_LG2 any ideas.?

maddy1251 · Answer

@paki

maddy1251 · Answer

@ganeshie8  do you know?