How do you solve problem 25? How do you find the critical points and boundary points? Show steps clearly 1220. x, y) = xye¯(16x²+9y²)/288|closed, R.17. y) = 4ry – 2x – y² + 4x – 2y18. x, y) = 2x* + x² + 2xy + 3x + y + 2y + 5the largest possible pro30. PRICING The telephone compato introduce two new types of ex4xy – 2x4 – ?a4 + x + 2xy + 3x + y + 2y + 5%3D+ 4x - 2ycommunications systems that it hlargest commercial customers. Itif the first type of system is pricdollars per system and the secohundred dollars per system, ap) on y = 0 can0).%3D1.18. a, y)12 + y + 3x – 2y + 1%3Diob19. Aa, y) =8x + 5y consumers willand 50 + 9x - 7y will buy ththe cost of manufacturing the-(16x²+9y²)/288-inu booniom to en leo%3D.2dary, extreme+3x - xy²= x Inper system and the cost of msecond type is $3,000 per sytelephone company price thethe largest possible profit?21. fa, y)x + y? + 4%3D22. x, y) = _were qu31. RETAIL SALESA compacommodity A and y unitsunits can be sold for100 – y docost (in dollars) of produby the joint-cost functionWhat should x and y be= in the%3D%3Dof A and q-n this partbounded region R.ry criticalx - 3y on the triangular region R-%3D23. f(x, y)32. RETAIL SALES Repep 3 20C = 2xy + 4.an occur:4xy - 8x 4y + 5 on the triangularcase where%3D5 f(x, y) = 2x“ + y + xy¯ – 2 on the square regionR with vertices (5, 5), (-5, 5), (5, –5), (-5, -5).4x + 6y - 3 on the square(1)33. PROFIT UNDER MC%3Dwith exclusive rightsindustrial machine is2 + 3y?16. f(x, y) = x + 3y“ –region R with vertices (0, 0), (3, 0), (3, –3),number of the machi%3Dwill be|domestic firms. Thenber ofexpect to receive fothe number of mac= x* + 2y on the circular region R bounded27. f(x, y) =by x+ y²example, if only aon the market, con= 1.prospective purchaup.) It is estimatedx machines to theto the foreign ma28. f(x, y) = xy on the quarter circular region R%3Dx2 + y²%3Dbounded by x2 + y = 12 with x 0, y 2 0.BUSINESS AND ECONOMICS APPLIED PROBLEMS--In Exercises 29 through 35, assume that the required0929. RETAIL SALES A T-shirt shop carries twocompeting shirts, one endorsed by Tim Duncanand the other by LeBron James. The owner of theextreme value is a relative extremum.-and for 50e abroad. If themachines at thstore can obtain both types at a cost of $2 pershirt and estimates that if Duncan shirts are sold

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f(x,y)=2x2+y2+xy2-2 To Find: All interior and boundary critical points and determine largest and…