pierre wants to make some chairs and tables to sell using 360 wooden boards and 1080 nails Each chair uses 6 boards and 12 nails
while each table uses 10 boards and 40 nails. Pierre wants to sell no less than 6 tables . IF each chair Sells for $55 and each table sells for $ 125, how many of each should he sell to reach his maximum profit? What will be his maximum profit?
1 answer:
Answer:
- 30 chairs, 18 tables
- $3900
Step-by-step explanation:
If x and y represent the numbers of chairs and tables Pierre wants to make, then he wants to ...
Maximize 55x +125y
subject to the constraints ...
6x +10y ≤ 360 . . . . . limit on available boards
12x +40y ≤ 1080 . . . limit on available nails
y ≥ 6 . . . . . . . . . . . . . minimum number of tables to sell
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When there are two variables, it is often convenient to graph the constraints to find the feasible solution region. The graph shows the vertices of the feasible region to be (0, 27), (30, 18), (50, 6), and (0, 6).
Pierre's profit is maximized by selling 30 chairs and 18 tables. His maximum profit is $3900.
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If 5000 gets increased by 200, then you end up with 5200.
if 900 gets increased by 200, then it'd be 1100.
so in short, if we take 5200 to be the 100%, what is 1100 in percentage from it?
if 900 gets increased by 200, then it'd be 1100.
so in short, if we take 5200 to be the 100%, what is 1100 in percentage from it?
Step-by-step explanation:
Each term is 2 more than the previous term, and the first term is 12, so the recursive formula is:
This is an arithmetic sequence, so the explicit formula is:
The next three terms are 20, 22, 24.