Rework problem 1 in section 1 of Chapter 7 of your textbook, about Sam's Deli, using the following data. Assume that each small sandwich uses 4 inches of bread and 4 ounces of meat, and that each large sandwich uses 12 inches of bread and 6 ounces of meat. Assume also that the Deli has on hand each day 90 feet of bread and 25 pounds of meat. Assume also that the profit on each small sandwich is $0.90 and the profit on each large sandwich is $1.50. How many sandwiches of each size should the Deli make in order maximize its profit? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 2 Number of constraints: 4 Number of objective functions: 1 (Note: The textbook's version of this problem was solved (as part of the mini-lecture) on The Finite Show. You can view the streaming video of this solution at TFS solution. • Part 2 • Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., >.) y (in dollars) subject to the constraints bread used (in inches): meat used (in ounces): x +
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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