Billy will be eating spaghetty and dessert. the dessertcontaints 3 gr of fat, 87

Question

Billy will be eating spaghetty and dessert. the dessertcontaints 3 gr of fat, 875 mg of sodium and 5 gr ofprotein per serving. the spaghetty containts 12 gr of fat, 275 mgof sodium and 18 gr of protein per serving. Billy is limited to 17gr of fat and 1300 mg of sodium. how many serving of each shouldBilly eat to maximize protein? setup the system of constraints andthe function to maximize. setup but do not solve. I did it but not sure if it is correct! x = # of serving of spaghetty, y = # of serving ofdessert. Max. protein, z = 5x + 18y subject to, 3x + 12y <17       875x + 275y <1300   x >0      y > 0 can someone check my work? thanks Billy will be eating spaghetty and dessert. the dessertcontaints 3 gr of fat, 875 mg of sodium and 5 gr ofprotein per serving. the spaghetty containts 12 gr of fat, 275 mgof sodium and 18 gr of protein per serving. Billy is limited to 17gr of fat and 1300 mg of sodium. how many serving of each shouldBilly eat to maximize protein? setup the system of constraints andthe function to maximize. setup but do not solve. I did it but not sure if it is correct! x = # of serving of spaghetty, y = # of serving ofdessert. Max. protein, z = 5x + 18y subject to, 3x + 12y <17       875x + 275y <1300   x >0      y > 0 can someone check my work? thanks

Explanation / Answer

I think it is right but you only need to swap the x and y x = # of serving of dessert, y = # of serving of spaghetty

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