A manufacturer of two products (Widgets and Gadgets) makes a profit of $130 for each widget sold and $100 for each gadget sold. However, production of these products generates hazardous waste charges at the rate of 1w2 (where Wis the number of Widgets produced) and 26³ (where G is the number of Gadgets produced). The manufacturer has ample supplies of all raw materials and can sell all the Widgets and Gadgets it produces. The firm has sufficient capacity to produce any realistic quantity of both products. What is the optimal quantity of each product to produce? (Round your answers to 1 decimal place.) Widgets and Gadgets What is the maximum profit the manufacturer can earn? (Round your answer to 2 decimal places.) Maximum profit
A manufacturer of two products (Widgets and Gadgets) makes a profit of $130 for each widget sold and $100 for each gadget sold. However, production of these products generates hazardous waste charges at the rate of 1w2 (where Wis the number of Widgets produced) and 26³ (where G is the number of Gadgets produced). The manufacturer has ample supplies of all raw materials and can sell all the Widgets and Gadgets it produces. The firm has sufficient capacity to produce any realistic quantity of both products. What is the optimal quantity of each product to produce? (Round your answers to 1 decimal place.) Widgets and Gadgets What is the maximum profit the manufacturer can earn? (Round your answer to 2 decimal places.) Maximum profit
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A manufacturer of two products (Widgets and Gadgets) makes a profit of $130 for each widget sold and $100 for each gadget sold.
However, production of these products generates hazardous waste charges at the rate of 1w2 (where Wis the number of Widgets
produced) and 1263
(where G is the number of Gadgets produced). The manufacturer has ample supplies of all raw materials and can
sell all the Widgets and Gadgets it produces. The firm has sufficient capacity to produce any realistic quantity of both products.
What is the optimal quantity of each product to produce? (Round your answers to 1 decimal place.)
Widgets and
Gadgets
What is the maximum profit the manufacturer can earn? (Round your answer to 2 decimal places.)
Maximum profit
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