A tobacco shop blends Cuban, American and Columbian tobaccos into three aromatic house mixtures. A packet of Ruff has 6 ounces Cuban, 4 ounce American, and 14 ounces Columbian; Buff has 3 ounces Cuban, 1 ounce American, and 2 ounces Columbian; Tuff has 4 ounces Cuban, 2 ounces American, and 8 ounces Columbian. If Ruff sells for $8.00, Buff for $10.00 and Tuff for $16.00 per packet and if there are 32 ounces of Cuban, 10 ounces of American, and 72 ounces of Columbian on hand. Find the amount of Ruff, Buff and Tuff that should be blended to maximize profit from the tobacco on hand. Set up to solve this problem by:a) Defining all variables usedb) Stating the objective and listing the objective function.c) Stating ALL the constraints.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
A tobacco shop blends Cuban, American and Columbian tobaccos into three aromatic house mixtures. A packet of Ruff has 6 ounces Cuban, 4 ounce American, and 14 ounces Columbian; Buff has 3 ounces Cuban, 1 ounce American, and 2 ounces Columbian; Tuff has 4 ounces Cuban, 2 ounces American, and 8 ounces Columbian. If Ruff sells for $8.00, Buff for $10.00 and Tuff for $16.00 per packet and if there are 32 ounces of Cuban, 10 ounces of American, and 72 ounces of Columbian on hand. Find the amount of Ruff, Buff and Tuff that should be blended to maximize profit from the tobacco on hand.
Set up to solve this problem by:
a) Defining all variables used
b) Stating the objective and listing the objective function.
c) Stating ALL the constraints.
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