Flor’s Flours is small business that produces two types of ready-to-use multigrain flours using organic products such as bulgur wheat, garbanzos, and jasmine rice and sells them at a Farmer’s Market every weekend. The first blend is called Pancake-Me and is priced at $6.50 per lb. and the second blend is called the Bake-Me and is priced at $4.50 per lb. These healthier versions of the traditional flour used for cooking and baking are fairly popular and Flor realizes that she needs to have a more formalized method of how to blend the flours if she hopes to minimize her costs and maximize her profits by continuing to sell the flours on a larger scale. The costs of obtaining the components – bulgur wheat, garbanzos, and jasmine rice are different. With a lot of painstaking trial-and-error, Flor has found that the following guidelines must be met to ensure that the Flours meet the flavor-profile that consumers prefer: Pancake-Me Blend should have: At least 50% bulgur wheat At least 20% garbanzos At the most 15% jasmine rice Bake-Me Blend should have: At the most 60% bulgur wheat At least 25% garbanzos At the most 10% jasmine rice Moreover, Flor can obtain 150 lbs. of bulgur wheat at $1.25 per lb., 100 lbs. of garbanzos at $0.87 per lb. and 75 lbs. of jasmine rice at $1.79 per lb. for the next month’s production by ordering whole grains in bulk on the internet. The other caveat is that at least 100 pounds of the Bake-Me blend needs to be made available to cover the next month’s demand at the Farmer’s Market. Based on this information, answer the following questions: a. Flor’s profit for the month would be $(round to two decimal places) b. Fill in the following table to show how much of each component Flor should use for each blend and what her total monthly production of each flour is (you can write whole numbers): Component
Flor’s Flours is small business that produces two types of ready-to-use multigrain flours using organic products such as bulgur wheat, garbanzos, and jasmine rice and sells them at a Farmer’s Market every weekend. The first blend is called Pancake-Me and is priced at $6.50 per lb. and the second blend is called the Bake-Me and is priced at $4.50 per lb. These healthier versions of the traditional flour used for cooking and baking are fairly popular and Flor realizes that she needs to have a more formalized method of how to blend the flours if she hopes to minimize her costs and maximize her profits by continuing to sell the flours on a larger scale. The costs of obtaining the components – bulgur wheat, garbanzos, and jasmine rice are different. With a lot of painstaking trial-and-error, Flor has found that the following guidelines must be met to ensure that the Flours meet the flavor-profile that consumers prefer:
Pancake-Me Blend should have:
- At least 50% bulgur wheat
- At least 20% garbanzos
- At the most 15% jasmine rice
Bake-Me Blend should have:
- At the most 60% bulgur wheat
- At least 25% garbanzos
- At the most 10% jasmine rice
Moreover, Flor can obtain 150 lbs. of bulgur wheat at $1.25 per lb., 100 lbs. of garbanzos at $0.87 per lb. and 75 lbs. of jasmine rice at $1.79 per lb. for the next month’s production by ordering whole grains in bulk on the internet. The other caveat is that at least 100 pounds of the Bake-Me blend needs to be made available to cover the next month’s demand at the Farmer’s Market. Based on this information, answer the following questions:
a. Flor’s profit for the month would be $(round to two decimal places)
b. Fill in the following table to show how much of each component Flor should use for each blend and what her total monthly production of each flour is (you can write whole numbers):
Component |
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Wheat |
Garbanzo |
Rice |
TOTAL |
|
Pancake-Me |
|
|
|
|
Bake-Me |
|
|
|
|
TOTAL |
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|
|
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