Question

Green Vehicle​ Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either​ vehicle, processing in the assembly shop and in the paint shop are required. It takes

​1/40

of a day and

​1/60

of a day to paint a truck of type T1 and a car of type C1 in the paint​ shop, respectively. It takes

​1/45

of a day to assemble either type of vehicle in the assembly shop.

A T1 truck and a C1 car yield profits of

$ 300

and

$ 250

​respectively, per vehicle sold.

The aim of the objective function for Green Vehicle Inc. should be to

Maximize

the objective value.

The optimum solution​ is:

Number of trucks to be produced per day​ =

nothing

​(round your response to two decimal​ places).

Answer 1

Formulation:

Maximize 300 T1 + 250 C1
s.t.
(1/40) T1 + (1/60) C1 <= 1 (Paint)
(1/45) T1 + (1/45) C1 <= 1 (Assembly)
T1, C1 >= 0

LINGO Code:

MAX = 300*T1 + 250*C1;
(1/40)*T1 + (1/60)*C1 < 1;
(1/45)*T1 + (1/45)*C1 < 1;

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Solution:

So,

Number of trucks to be produced per day​ = 30