Question
In: Statistics and Probability
What are the resource inequalities for the following situation? Producing a bookshelf requires 8 boards and...
What are the resource inequalities for the following
situation?
Producing a bookshelf requires 8 boards and 12 screws. Producing a
TV stand requires 6 boards and 14 screws. Each bookshelf yields $27
profit, and each TV stand yields $25 profit. There are 55 boards
and 130 screws available.
- 8x+12y≤558x+12y≤55, 6x+14y≤1306x+14y≤130, x≥0x≥0, y≥0y≥0
- 8x+6y≤558x+6y≤55, 12x+14y≤13012x+14y≤130, x≥0x≥0, y≥0y≥0
- 8x+12y≤278x+12y≤27, 6x+14y≤256x+14y≤25, x≥0x≥0, y≥0y≥0
- 8x+6y≤278x+6y≤27, 12x+14y≤2512x+14y≤25, x≥0x≥0, y≥0
Solutions
Expert Solution
Let x denotes the number of bookshelf and y denotes the number of TV stands to be produced.
Each bookshelf requires 8 boards and each TV stand requires 6
boards. So the total number of boards required to produce x number
of bookshelf and y number of TV stand is represented by the
equation 
. The total number of boards available is 55. So the resource
inequality for boards is 
.
Each bookshelf requires 12 screws and each TV stand requires 14
screws. So the total number of screws required to produce x number
of bookshelf and y number of TV stand is represented by the
equation 
. The total number of screws available is 130. So the resource
inequality for screws is 
.
Also the quantitites x and y are non-negative.
So it is represented as 
.
The correct option is the second option
orchestra answered 1 year agoRelated Solutions
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