Well... I know you're just setting a metric, but I think fresh food won't last 250 weeks. Unless you're talking hydroponics, which I would assume has its own maintenance and volume requirements.
The following data has been culled from FM 10-13, Quartermaster Reference Data, for the years 1950, 1957, and 1969. They can all be located on archive.org for those interested in more data or more precise data. It is supplemented by data from FM 101-10, Staff Officers' Field Manual-Organization, Technical,and Logistical Data, 1959, and FM 55-15 Transportation Reference Data, 1963.
In general, for fresh food with refrigeration, your shelf life is going to be about 30 days. Some items can go longer, a lot are shorter, but for game purposed, a figure of 30 days is reasonable.
The US Army's Class A ration or field ration consists of approximately 200 items, including such perishables as fresh and frozen meats, vegetables, and fruit. It is intended for use primarily under stable conditions and during static phases of military operations when normal cooking and refrigeration facilities are available. That would basically be the conditions onboard of most ships. The typical ration, or food for one person for one day, would weigh 6 pounds including packaging and occupy 0.183 cubic feet. It would supply about 4,200 calories per ration. Note that calories content, as it assume an active person engaging in strenuous activity. Based on World War 2 experience, in 1950 it was assumed that one man would require about 3 cubic feet of refrigerated space per 30 day month, while in 1969, the allowance was for 3.98
gross cubic feet of space. The "gross" is important, and that would include the refrigerator itself. Now, 0.183 times 30 days equals 5.49 cubic feet, but the difference between 1950 and 1969 means that we need to add about one cubic foot to that to allow for the added volume of the refrigerator/freezer, so food for 30 days for one person would weight 180 pounds and occupy 6.49 cubic feet.
If you use 13.5 cubic meters for the Traveller dTon, you have 476.748 cubic feet to work with, with about 60% of that being refrigerator/freezer space, which would be sufficient room for 70 persons (it is actually 73, but I am rounding down for lost space) for one month, at a total weight of 12,600 pounds. That seems a little high, as FM 55-15, Transportation Reference Data, 1963 assumes that one long ton of Class A rations will occupy 94 cubic feet. Five long tons of Class A rations would occupy 470 cubic feet, or almost exactly 13.5 cubic meters. Five long tons would weigh 11,200 pounds, a little less than our 12,600 pounds. I probably did not make enough allowance for wasted space. Our new figure of 11,200 pounds will feed 62 people for one 30 day month 4,200 calories a day. As the crew of a starship during Jump are not likely to be engaging in extremely strenuous activities, unless exercising like crazy, a more likely calorie need would be around 2500 to 2800 calories per day, Therefore a very adequate cushion exists. Once you are past the 30 day mark however, the equations change, as you can no longer assume fresh food.
On to the next lecture.