mariella nuthouse is preparing a new product, a blend of mixed nuts. the product must be at most 50% of peanuts, must have more almonds than cashews, and must be at least 10% pecans. the blend will be sold in one pound bag. goal is to mix the nuts in such a manner that all conditions are satisfied and the cost per bag is minimized. peanuts cost $1 per pound. cashews cost $3 per pound. almonds cost $5 per pound and pecans cost $6 per pound. identify the decision variables. write the objective and the set of constraints for the problem. do not solve