Questions 1-5 are in reference to the following scenario: Each evening, a team of employees at a company assembles vegetable, roast beef, and chicken sandwiches to be placed in vending machines the following morning. Only 960 minutes of assembly time are available each evening. Each vegetable sandwich takes .4 minutes to assemble, each roast beef sandwich takes .3 minutes to assemble, and each chicken sandwich takes .5 minutes to assemble. The vending machines have room for at most 2000 sandwiches. To insure variety, the company wants to provide at least 200 of each type of sandwich. The revenue per vegetable sandwich is $3.00, per roast beef sandwich is $4.00, and per chicken sandwich is $3.50. The company wants to know how many of each type of sandwich to assemble each evening to maximize total revenue. (The company is assured of selling all the sandwiches it provides.) The minimum sandwich constraint may be stated as: O Xv s 200 and Xr s 200 and Xc s 200 O Xv + Xr + Xc = 200 O Xv + Xr + Xc 2 200 O Xv 2 200 and Xr 2 200 and Xc z 200
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.
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