Need step-by-step solution via Excel Solver. From Chapter 8 of Introduction to Management Science: A Modeling and Case Studies Approach with Spreadsheets (Fredrick Hillier, 6th Edition.). (Use the Nonlinear Solver to solve simple types of nonlinear programming problems.) When I use Solver I come up with correct number of widgets (35.0), but answer key rejects my finds for gadgets (2.0) and maximum profit (2602.00). Many thanks.

A manufacturer of two products (Widgets and Gadgets) makes a profit of $140 for each widget sold and $100 for each gadget sold. However, production of these products generates hazardous waste charges at the rate of 22 (where Wis the number of Widgets produced) and 264 (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