Homework $-$ Linear

Question $1,$ Problem $2$

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Amazing Dairy produces yogurt, sour cream, kefir, and cottage cheese in $10$ pound containers for the food service industry. Each product is made in $10$ pound batches and requires similar processing through three machines. Details on Amazing Dairy's product line, including the processing time in minutes at each machine, follows. Amazing Dairy has $2,100$ minutes of processing time available for each machine each week. Develop a linear program that maximizes total revenue.

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Let $x_1=$ number of $10$ pound containers of yogurt,

$x_2=$ number of $10$ pound containers of sour cream,

$x_3=$ number of $10$ pound containers of kefir,

$x_4=$ number of $10$ pound containers of cottage cheese.

Objective function: Maximize: $Z=x_1+x_2+x_3+x_4.($Enter your responses rounded to two decimal places.$)$

More Info

$\backslash$table$[[,$Yogurt,Sour Cream,Kefir,Cottage Cheese$],[$Price per pound,$$1\mathrm{.}00,$$$1\mathrm{.}75,$$$3\mathrm{.}00,$$$1\mathrm{.}50$