Acompany makes a profit of $50 per software program and $35 per video game. the company can produce at most 200 software programs and at most 300 video games per week. total production cannot exceed 425 items per week. how many items of each kind should be produced per week in order to maximize the profit? use linear programming to solve. show all your work.

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %