Provide an appropriate response.Find the dual problem to the following: The What If Company has $30,000 for the purchase of material to make three types of gadgets. The company has allocated a total of 1200 hours of assembly time and 180 hours of packaging time for the gadgets. The following table gives the cost per gadget, the number of hours per gadget, and the profit per gadget for each type. 
What is the number of gadgets of each type the company should produce to maximize profit?
What will be an ideal response?
Minimize W = 30,000y1 + 1200y2 + 180y3 subject to
| 300y1 + 15y2 + 2y3 ? | 150 and y1, y2, y3 ? 0. |
| 300y1 + 15y2 + 2y3 ? | 250 |
| 400y1 + 10y2 + 3y3 ? | 200 |
Mathematics
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