Answer:
$16,000
Step-by-step explanation:
For easier understanding and calculation; we created a table for solving this question.
Destination → Dallas Atlanta Denver Availability
Source
<u>↓ </u>
<u>Houston $ 8 $ 12 $ 13 850 </u>
<u />
<u>Phoenix $ 10 $ 14 $ 8 800 </u>
<u />
<u>Memphis $ 11 $ 8 $ 14 350 </u>
<u>Requirement 800 700 250 </u>
<u />
Minimum Shipping Cost to Dallas is from Houston and they have 850 air conditioners, Dallas need 800, so ship all required 800 air conditioners from Houston itself
Minimum shipping cost of Atlanta is from Memphis and they have 350 air conditioners, but Atlanta need 700, so ship all the 350 air conditioners that Memphis have to Atlanta
Minimum shipping cost to Denver is from Phoenix and they have 800 air conditioners, but Denver need 250, so ship all the required 250 air conditioners to Denver itself.
Destination → Dallas Atlanta Denver Availability
Source
<u>↓ </u>
Houston $ 8 $ 12 $ 13 850
<u> (800) </u>
Phoenix $ 10 $ 14 $ 8 800
<u> (250) </u>
<u />
Memphis $ 11 $ 8 $ 14 350
<u> (350) </u>
<u>Requirement 800 700 250 </u>
Still Atlanta need 350 air conditioners more, the second minimum shopping cost to Atlanta is from Houston and they have 50 air conditioners left .
So, ship all the 50 air conditioners that Houston have to Atlanta
Also, sent the remaining 300 air conditioners that Atlanta need from Phoenix
Destination → Dallas Atlanta Denver Availability
Source
<u>↓ </u>
Houston $ 8 $ 12 $ 13 850
<u> (800) (50) </u>
Phoenix $ 10 $ 14 $ 8 800
<u> (300) (250) </u>
<u />
Memphis $ 11 $ 8 $ 14 350
<u> (350) </u>
<u>Requirement 800 700 250 </u>
The total cost of shipping = ($ 8 × 800) +( ( $ 12 × 50)+($ 14 × 300) +( $ 8 × 350) ) + ( $ 8 × 250)
= ( $ 6, 400) + $ ( 600 + 4, 200 + 2, 800 ) + $ 2, 000
= $ 16,000
Therefore, the total cost = $ 16,000
