An International Farming Company operates a large farm on which tomatoes are produced. The farmmanager determined that for the tomatoes to grow in the desired fashion, they need at least minimumamounts of four fertilizers. The manager is considering three different Mixes to feed the soil. The tablebelow lists the number of units of each fertilizer in each pound of a mix, the minimum dailyrequirementsofeachfertilizerforeachtomatoplant,andthecostofeachMix.

The manager believes that as long as the plants receive the minimum daily amount of each fertilizer,they will be healthy and produce a standard amount of tomatoes. The manager wants to operate thefarm ataminimumcost.

	MixType	DailyMinimum Requirement(unit)
	Mix1	Mix2	Mix3
Nitrogenfertilizers	20	30	70	110
Nitrogenfertilizers	10	10	0	18
Phosphorusfertilizers	50	30	0	90
Potassiumfertilizers	6	2.5	10	14
Cost(Cent/lb)	41	36	96

Please answer thequestionabove andshowallyour workindetail:

1. Defining and describe your variables clearly with explanations of why you think they are thevariables
2. Developyourobjectivefunction andhowit isrelatedto itsvariables.(show itmathematically)
3. Determine what areyoutryingtoachieve:MaximizeorMinimize?
4. Whatareyourconstraints?Explaintheminwordsandwritethemmathematically
5. Attach an EXCEL FILE showinghowyouusedthe"Solve"functionto achieveyourresult.