Toys-a-go makes toys at plant a and plant b. plant a needs to make a minimum of 1000 toy dump trucks and fire engines. plant b needs to make a minimum of 800 toy dump trucks and fire engines. plant a can make 10 toy dump trucks and 5 toy fire engines per hour. plant b can produce 5 toy dump trucks and 15 toy fire engines per hour. it costs $30 per hour to produce toy dump trucks and $35 per hour to operate produce toy fire engines. how many hours should be spent on each toy in order to minimize cost? what is the minimum cost?

88 hours on dump truck

24 hours on fire engine

Minimum cost is $3480

Step-by-step explanation:

D > 0; f >0

Plant A : 10d+5f >100

Plant B: 5d +15f >800

Cost:

C(x,y)+30D+35F

88 hours on dump truck and 24 hours on fire engine.

The minimum cost will be $3480.

Step-by-step explanation:

Constraints will be :

Plant A:

Plant B:

The Cost function is given as:

Now graphing this we will get the points (0,200) , (88,24) , (160,0)

So, the answer would be 88 hours on dump truck and 24 hours on fire engine.

And cost will be :

=

= $3480

its electric no smoke

step-by-step explanation: