Need some help with Constraints

[jpvn2015]

I understand feasible sets and feasible regions alright, but for some bizarre reason, I can't seem to grasp the concept of constraints. Here's a problem that I was struggling on: A local bakery sells pies and cakes. Each pie takes 20 minutes to prepare and 45
minutes to cook. Each cake takes 30 minutes to cook and a total of 40 minutes to mix
and decorate. In a given day, the bakery has 16 hours of employee time available for
food preparation and 3 ovens available for 8 hours each. The bakery makes a profit of
$5.50 on each pie and $6.00 on each cake.
a. Let x = the number of pies and y = the number of cakes the bakery makes in a given
day. Translate the constraints into a system of linear inequalities.

Once I obtain the constraints, I can easily turn them into systems of equalities (there already like that). But, it seems like all of the variables are messing me up. Help is really appreciated!

 

[Deleted member 4993]

I understand feasible sets and feasible regions alright, but for some bizarre reason, I can't seem to grasp the concept of constraints. Here's a problem that I was struggling on: A local bakery sells pies and cakes. Each pie takes 20 minutes to prepare and 45
minutes to cook. Each cake takes 30 minutes to cook and a total of 40 minutes to mix
and decorate. In a given day,

the bakery has 16 hours of employee time available for food preparation and ← Total employee-time must be less than or equal to 16 hrs.

3 ovens available for 8 hours each. ← Total oventime must be less than or equal to 24 hrs.

The bakery makes a profit of
$5.50 on each pie and $6.00 on each cake.
a. Let x = the number of pies and y = the number of cakes the bakery makes in a given
day. Translate the constraints into a system of linear inequalities.

Once I obtain the constraints, I can easily turn them into systems of equalities (there already like that). But, it seems like all of the variables are messing me up. Help is really appreciated!

.

 

[JeffM]

You need to name variables for employee hours and oven hours.

And don't forget the non-negativity constraints.

 

[jpvn2015]

Thanks for your help, guys. I solved the problem and got it correct according to my workbook.