You are working in a company that prepares different dried fruit mix packages using different amounts of dried grapes, apricots, and figs. The mixtures are supposed to have the compositions given in the table below. You have only 450 g , 462 g , and 678 g of dried grapes, apricots, and figs, respectively, in your stocks. Provided that you must use all the material in your stocks, calculate the amount ( in g ) of each mix that can be prepared using
a ) naive Gauss elimination,
b ) MATLAB.
c ) Using the stimuli - response approach, calculate the change in the amount of production of each mix if you were supplied with 578 g of dried figs instead of 678 g. Comment on the results.
d ) If 53 g of dried grapes and 61 g of dried apricots were accidentally spilled, what would be the final production amount of the first mix? ( Note that the amount of dried figs you have is still 678 g . ) Note that you must use the stimuli - response approach to answer this question.

Dried grape Dried apricot Dried fig
Mix1 composition (% w/w) 44 30 26
Mix2 composition (% w/w) 20 45 35
Mix3 composition (% w/w) 25 20 55