3. Farmhouse Furniture is a family-owned business that
makes handcrafted dining room tables and chairs. They obtain
oak from a local tree farm, which ships them 2,500 pounds of oak
each month. Each table uses 50 pounds of oak while each chair uses
25 pounds of oak. The family builds all the furniture itself
and has 480 hours of labor available each month. Each table
or chair requires 6 hours of labor. Each table nets Oak Works
$400 in profit, while each chair nets $100 in profit. Since
chairs are often sold with the tables, they want to produce at
least twice as many chairs as tables.
Write the LP formulation to determine the number of tables
and chairs to produce this month.
4. The advertising manager for a mid-size real estate
company in Des Moines, Iowa has three potential media outlets to
use for a new campaign. The cost of these, the audience
reached by each type of ad, and the maximum of each that can be
purchased is given in the table below:
TV ad
Radio ad
Billboard
Cost per ad
$800
$400
$400
Audience reached per ad
30,000
21,000
25,000
Maximum number of ads available
10
15
5
Additionally, the company president has decided that there
should be at least six TV ads. The total monthly budget for
advertising has been set at $20,000.
Write the LP formulation order to determine how many ads of each
type should be placed in order to maximize the number of people
reached.