Consider the planning and scheduling problem facing a manufacturer of microwave ovens with two models in its line- the standard and the deluxe. Each oven is assembled from component parts and subassemblies that are produced in the mechanical and electronics departments. The following table shows the number of productionhours per oven in each department and the capacities of the three production departments, in monthly hours. Standard (h/oven) Deluxe (h/oven) Capacity (h/month) Assembly Department Mechanical Department Electronics Department The sales department believes that there will be demand for as many ovens as the company can produce. The accounting department has determined that the profit contribution are $50 for each standard and $40 for each deluxe. Mathematically formulate the problem as a linear programming problem. Solve the linear programming problem geometrically and determine a production plan to maximize monthly profit contribution. 4 4 560 3 400 2 4 400
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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