A manufacturer of two products (Widgets and Gadgets) makes a profit of $180 for each widget sold and $180 for each gadget sold. However, production of these products generates hazardous waste charges at the rate of 3W² (where Wis the number of Widgets produced) and 2G2 (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

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section7.3: Pricing Models
Problem 3P: Pricing Decisions at Madison The Madison Company manufactures and retails a certain product. The...
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Wk Qu. 8-14 A manufacturer of two products...
A manufacturer of two products (Widgets and Gadgets) makes a profit of $180 for each widget sold and $180 for each gadget sold.
However, production of these products generates hazardous waste charges at the rate of 3w2 (where Wis the number of Widgets
produced) and 262 (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
Transcribed Image Text:Wk Qu. 8-14 A manufacturer of two products... A manufacturer of two products (Widgets and Gadgets) makes a profit of $180 for each widget sold and $180 for each gadget sold. However, production of these products generates hazardous waste charges at the rate of 3w2 (where Wis the number of Widgets produced) and 262 (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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