Coffee Bean Cost and Usage Analysis

The video tutorial explains a problem where Lauren needs to purchase a blend of dark and light roast coffee beans for her cafe. She requires 80 kilograms of beans and has a budget of $220. The tutorial uses a graph to represent the constraints of the problem, with equations for the cost and total kilograms. It analyzes different points on the graph to understand how they meet or fail to meet the constraints, focusing on points C, D, F, and E, each representing different scenarios of spending and bean usage.

What is the total weight of coffee beans Lauren needs for her next order?

• 60 kilograms

• 80 kilograms

• 100 kilograms

• 120 kilograms

How much does Lauren want to spend in total on the coffee beans?

• $200

• $220

• $240

• $180

In the graph, what does the blue line represent?

• The sales target

• The profit margin

• The weight constraint

• The cost constraint

How much does Lauren spend on dark roast beans per kilogram?

• $1

• $4

• $2

• $3

How much does Lauren spend on light roast beans per kilogram?

• $3

• $2

• $4

• $1

What does point C on the graph indicate about Lauren's spending and usage?

• Spending more than $220 and using 80 kg

• Spending $220 and using more than 80 kg

• Spending less than $220 and using 80 kg

• Spending $220 and using less than 80 kg

At point D, what is true about Lauren's coffee bean usage?

• She uses no beans

• She uses less than 80 kg

• She uses exactly 80 kg

• She uses more than 80 kg

At point D, how much does Lauren spend?

• Exactly $220

• Less than $220

• More than $220

• Nothing

What does point F on the graph signify?

• Both constraints are met

• Neither constraint is met

• Only the cost constraint is met

• Only the weight constraint is met

At point E, what is true about Lauren's spending and usage?

• Spending less than $220 and using 80 kg

• Spending $220 and using more than 80 kg

• Spending more than $220 and using less than 80 kg

• Spending $220 and using exactly 80 kg