The Sun Company manufactures two types of lamps, labeled A and B. Because of limited materials, the company can produce no more than 400 lamps. Each lamp requires work-hours in the painting department and the finishing department. The total number of hours available per day for the painting and finishing departments are 600 and 300 respectively. Lamp A requires 4 hours in the painting department and 1 hour in the finishing department. Lamp B requires 1 hour in the painting department, and 1 hour in the finishing department. The profits made on each lamp are $50 for each lamp A and $40 for each lamp B. a. Determine the number of lamps of each type should be made to maximize profit. b. What is the maximum profit? c. Are there any "leftover" workhours? If so, how many and in which department?
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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![The Sun Company manufactures two types of lamps, labeled A and B. Because of limited materials,
the company can produce no more than 400 lamps. Each lamp requires work-hours in the painting
department and the finishing department. The total number of hours available per day for the
painting and finishing departments are 600 and 300 respectively. Lamp A requires 4 hours in the
painting department and 1 hour in the finishing department. Lamp B requires 1 hour in the painting
department, and 1 hour in the finishing department. The profits made on each lamp are $50 for
each lamp A and $40 for each lamp B.
a. Determine the number of lamps of each type should be made to maximize profit.
b. What is the maximum profit?
c. Are there any "leftover" workhours? If so, how many and in which department?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4a85037-4e19-4dea-ab9c-df0852f1cd24%2F69aaad10-6222-4915-8ebf-5a6e69890cfb%2F7eboua_processed.jpeg&w=3840&q=75)
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