Optimization of Shipping Capacity for Refrigerators and TVs on an 18-WheelerShipping restrictions. The accompanying graph shows all of the possibilities for the number ofrefrigerators and the number of TVs that will fit into an 18-wheeler.a)Write an inequality to describe this region.The line passing through (0, 330) and (110, 0) is:m = (0–330)/(110–0) =-3y = mx + cy =-3x + c0 =-3(110) + c => c = 330So the line is y =-3x +330 or y + 3x = 330Since the region is under the line so the inequality describing the region isy+ 3x < 330b)Will the truck hold 71 refrigerators and 118 TVs?No, because the point (118, 71) does not lie in the region or it does not satisfy the inequality as71 + 3(118) < 330425 < 330 is not true.c)Will the truck hold 51 refrigerators and 176 TVs?Yes. because the point (51, 176) lies in the region or it satisfies the inequality as176 + 3(51) < 330327 < 330 is true.Preview Mode
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