1.The manager of a restaurant found that the cost to produce 100 omelets is $106.05, while the cost to produce 1000 omelets is $909.75. Assume the cost (x) is a linear function of , the number of omelets produced.

(a)Determine the cost function, (x ).

(b)Graph the cost function for 0 ≤ ≤ 2000.

(c)Interpret the slope and y intercept of the cost equation.

(d)If the manager spends $2500, how many omelets can he/she make?

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Since it is given cost is linear function and when x=100 omlets, cost/price =$106.05 Datewhenx=1000" om lets, "cos t=$909.75So we knowe two points (100,106.05) and (1000,909.75) on the line. We can easidy find line using equation of line:rarr Equation of line passing through 2 points (x_(1),y_(1)) and (x_(2),y_(2)) is biven by.(y-y_(1))=((y_(2)-y_(1))/(x_(2)-x_(1))(x-x_(1)):}Nom put values:{:[(y-106.05)=((909.75-106.05)/(1000-100))(x-100)],[=>y-106.05=(803.7)/(900)(x-100)],[=>y-106.05=0.893(x-100)],[=>y=0.893 x-89.3+106.05],[=>y=0.893 x+16.75]:}where y is notring but owr cost function:c(x)=0.893 x+16.75(a) Where c(x) is cost-function. Anwer of part (a)" (c) "{:[" Slope "=(y_(2)-y_(1))/(x_(2)-x_(1))=(909.75-106.05)/(1000-100)], ... See the full answer