Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is the total cost, b is the number of bath towels, and w is the number of washcloths.. Her budget is $85. Describe the constraints. She can order a maximum of washcloths or bath towels.

Given:

The total cost of the order is

where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.

Her budget is $85.

To find:

The constraints, so that she can order a maximum of washcloths or bath towels.

Solution:

We have,

Her budget is $85. So, total cost is less than or equal to 85.

      ...(i)

For maximum number of bath towels, the number of wash cloths is 0.

Divide both sides by 6.

For maximum number of wash cloths, the number of bath towels is 0.

Divide both sides by 2.

Therefore, the required constraints for maximum of washcloths or bath towels are and respectively.

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