It's time to buy pet food again and Lisa heads to the grocery store with $40 in her purse, leaving her four hungry dogs and seven hungry cats at home. Dog food costs $1 per can and cat food costs $0.50 per can. Lisa wants to minimize her pet food cost. What is an appropriate objective function for this scenario?

Respuesta :

Answer: Min Z = X1 + 0.50X2

Explanation:

Based on the information given in the question, the appropriate objective function for this scenario will be explained this:

Let X1 be the number of dog food cans which will be bought

Let X2 be the number of cat food cans which will be bought

Then, the objective function will be:

Min Z = 1X1 + 0.50X2

The appropriate objective function for this scenario is Min Z = X1 + 0.50X2

Objective function:

Since in her purse there is $40 also there is four hungry dogs and seven hungry cats at home. Dog food costs $1 per can and cat food costs $0.50 per can.

So based on this, here we assume that X1 be the no of dog And, X2 should be no of cat

So, the objective function is Min Z = X1 + 0.50X2

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